(x-4) (x+6) expand the following expression simpliying your aswer as far as posible?
回答 (20)
2009-05-25 10:49 am
✔ 最佳答案
(x-4) (x+6)=x^2-4x+6x-24
=x^2+2x-24 answer//
2009-05-25 10:47 am
Multiply each parcel from one parenthesis to both parcels of the other, in this fashion: (A+B)(A+C)=A*A + A*B + B*A + B*C
In your case: x*x + x*6 + -4*x + -4*6 =
x² + 6x + -4x + -24 =
Now add or subtract like terms:
x² + (6-4)x + -24 =
x²+2x-24
In your case: x*x + x*6 + -4*x + -4*6 =
x² + 6x + -4x + -24 =
Now add or subtract like terms:
x² + (6-4)x + -24 =
x²+2x-24
2009-05-25 10:46 am
(x^2)+2x+24
multiply x by x and multiply x by 6.
so you get
x^2 (which means x squared) plus 6x
(x^2)+6x
then multilpy 4 by x and 4 by 6.
so you get
4x+24
then because the x and the 4 in the first bracket is seperated by a minus sign, you have to seperate (x^2)+6x and 4x+24 with a minus sign. Like so,
(x^2)+6x-4x+24
then you simplify by adding like terms. so you add
(+6x) and (-4x)
which equals to
(+2x)
so then the final equation is
(x^2)+2x+24
:)
multiply x by x and multiply x by 6.
so you get
x^2 (which means x squared) plus 6x
(x^2)+6x
then multilpy 4 by x and 4 by 6.
so you get
4x+24
then because the x and the 4 in the first bracket is seperated by a minus sign, you have to seperate (x^2)+6x and 4x+24 with a minus sign. Like so,
(x^2)+6x-4x+24
then you simplify by adding like terms. so you add
(+6x) and (-4x)
which equals to
(+2x)
so then the final equation is
(x^2)+2x+24
:)
參考: im pretty sure that's right...
2009-05-25 10:46 am
Qs : (x-4) (x+6)
Step 1: Multiply the 'x' from (x-4) with both the 'x' and '6' from (x+6)
--> therefore you should be getting x^2 + 6x for an answr.
Step 2: Then multiply the '-4' from (x-4) with both the 'x' and '6' from
(x+6)
--> therefore you should be getting -4x - 24 for an answer.
Step 3 : Combine both the answers you got from steps 1 and 2.
--> therefore, getting an answer of:
x^2 + 6x - 4x - 24
Step 4 : Simplify the latest answer you got in step 3.
--> therefore you should get a final answer of x^2 + 2x - 24
Step 1: Multiply the 'x' from (x-4) with both the 'x' and '6' from (x+6)
--> therefore you should be getting x^2 + 6x for an answr.
Step 2: Then multiply the '-4' from (x-4) with both the 'x' and '6' from
(x+6)
--> therefore you should be getting -4x - 24 for an answer.
Step 3 : Combine both the answers you got from steps 1 and 2.
--> therefore, getting an answer of:
x^2 + 6x - 4x - 24
Step 4 : Simplify the latest answer you got in step 3.
--> therefore you should get a final answer of x^2 + 2x - 24
2009-05-25 10:45 am
You take the first term from the first bracket (x) and multiply it with the first term from the second bracket (x)
x * x = x^2
Then the first term from the first bracket (x) and multiply it with the second term from the second bracket (+6)
x * 6 = 6x
Then the second term from the first bracket (-4) and multiply it with the first term from the second bracket (x)
x * -4 = -4x
And lastly the second term from the first bracket (-4) and the second term from the second bracket (+6)
-4 * +6 = -24
Then we take all the answers,
x^2 + 6x - 4x - 24
And because the 6x and the 4x are to the same power (x^1) we can add them (6x + -4x = 2x) giving:
x^2 + 2x - 24
x * x = x^2
Then the first term from the first bracket (x) and multiply it with the second term from the second bracket (+6)
x * 6 = 6x
Then the second term from the first bracket (-4) and multiply it with the first term from the second bracket (x)
x * -4 = -4x
And lastly the second term from the first bracket (-4) and the second term from the second bracket (+6)
-4 * +6 = -24
Then we take all the answers,
x^2 + 6x - 4x - 24
And because the 6x and the 4x are to the same power (x^1) we can add them (6x + -4x = 2x) giving:
x^2 + 2x - 24
參考: Brain :D
2009-05-25 10:41 am
Ok if its ( A - B ) ( C + D )
then you'd get
AC - BC - BD + AD
OR you can multiply it in this order which will give you the same result,
AC + AD - BC - BD
So for your question it will be X times X - 4X - 4(6) + 6 X = X^2 +2X - 24
As you can see the I multiply the First term in the first bracket (x - 4 ) which is x, by the other first term in the second bracket ( x + 6 ) which is also x, so you get X^2. Then you multiply the second term in the first bracket by the first term in the second bracket, which is ( - 4 ) multiply by x, so you get - 4x.
Then you multiply the second terms in both brackets, which are - 4 and + 6, to get - 24, and then finally you multiply the first term by in the first bracket by the 2nd term in the 2nd bracket to get + 6 x.
Basically you have to multiply all the terms in each bracket by the terms in the other bracket once. You need not follow the order I just did as long as you do not miss out any multiplication or repeat any multiplication.
then you'd get
AC - BC - BD + AD
OR you can multiply it in this order which will give you the same result,
AC + AD - BC - BD
So for your question it will be X times X - 4X - 4(6) + 6 X = X^2 +2X - 24
As you can see the I multiply the First term in the first bracket (x - 4 ) which is x, by the other first term in the second bracket ( x + 6 ) which is also x, so you get X^2. Then you multiply the second term in the first bracket by the first term in the second bracket, which is ( - 4 ) multiply by x, so you get - 4x.
Then you multiply the second terms in both brackets, which are - 4 and + 6, to get - 24, and then finally you multiply the first term by in the first bracket by the 2nd term in the 2nd bracket to get + 6 x.
Basically you have to multiply all the terms in each bracket by the terms in the other bracket once. You need not follow the order I just did as long as you do not miss out any multiplication or repeat any multiplication.
2009-05-25 10:36 am
Alright. here's what you do. to expand these, you need to use the FOIL method. This stands for First, Outter, Inner, Last.
So, step 1 is to multiply the first terms of the binomials:
x*x = x^2
Step 2 is to multiply the outer terms of the binomials (looking at them):
x*6 = 6x
Step 3 is to multiply the inner terms of binomial:
-4*x = -4x
Step 4, the last one, is to multiply the last terms of the binomials:
-4*6 = -24
Then, add these together to get
x^2 + 6x - 4x - 24
then simplify to get
x^2 + 2x - 24
The key is to remeber the FOIL method
So, step 1 is to multiply the first terms of the binomials:
x*x = x^2
Step 2 is to multiply the outer terms of the binomials (looking at them):
x*6 = 6x
Step 3 is to multiply the inner terms of binomial:
-4*x = -4x
Step 4, the last one, is to multiply the last terms of the binomials:
-4*6 = -24
Then, add these together to get
x^2 + 6x - 4x - 24
then simplify to get
x^2 + 2x - 24
The key is to remeber the FOIL method
2016-12-25 3:21 am
Use the acronym f.o.i.l which stands for first, exterior, interior, and final. ( x- 4) ( x - 2) a million) first X * X = x^2 2)exterior x * (-2) = -2x 3) interior x * (-4) = -4x 4) final (-4) * (-2) = 8 combine solutions: x^2 - 2x - 4x + 8 combine like words: x^2 - 6x + 8
2009-05-25 10:39 am
Basically its like this in full form:
Xmultipled by x
Then the first x multiplied by 6
Yhen -4 multiplied by 6
Then -4 multiplied by x
This gives x^2 + 2x -24
Xmultipled by x
Then the first x multiplied by 6
Yhen -4 multiplied by 6
Then -4 multiplied by x
This gives x^2 + 2x -24
2009-05-25 10:38 am
I'm not good at explaining but I'll do it and hope you can follow it.
(x-4)(x+6) means times brackets by each others.
1. x X x
2. x X 6
3. -4 X x
4. -4 X 6
When we expand we have to do those for things which give us:
x^2+6x-4x-24
Which equals x^2+2x-24
(x-4)(x+6) means times brackets by each others.
1. x X x
2. x X 6
3. -4 X x
4. -4 X 6
When we expand we have to do those for things which give us:
x^2+6x-4x-24
Which equals x^2+2x-24
2009-05-25 10:37 am
x ² + 2 x - 24
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