Is it possible to factorise x^2-25
If it is possible, how do you factorise?
If possible, how to factorise x^2-25?
2009-02-04 10:05 am
回答 (9)
2009-02-04 10:09 am
✔ 最佳答案
(x + 5)(x - 5), difference of two squares.
2009-02-04 6:13 pm
x² - 25 = 0
x² = 25
x = 5
The factors:
= x - 5
= x + 5
Answer: (x - 5)(x + 5) are the factors.
Proof (F.O.I.L. to x² - 25):
= (x - 5)(x + 5)
= x² + 5x - 5x - 25
= x² - 25
x² = 25
x = 5
The factors:
= x - 5
= x + 5
Answer: (x - 5)(x + 5) are the factors.
Proof (F.O.I.L. to x² - 25):
= (x - 5)(x + 5)
= x² + 5x - 5x - 25
= x² - 25
2009-02-04 6:43 pm
Solution.
1. x^2 = x times x
=(x)(x)
2. we have to find two number that times together to make -25
= -5 x 5
ANSWER. = (x-5)(x+5)
CHECK ANSWER.
EXPAND (x-5)(x+5)
=(x times x) + (x times 5) - (5 times x) - (5 x 5)
= x^2+5x-5x-25
= x^2-25
hope it helped! ( i wrote how to do it just so if you needed any extra help)
1. x^2 = x times x
=(x)(x)
2. we have to find two number that times together to make -25
= -5 x 5
ANSWER. = (x-5)(x+5)
CHECK ANSWER.
EXPAND (x-5)(x+5)
=(x times x) + (x times 5) - (5 times x) - (5 x 5)
= x^2+5x-5x-25
= x^2-25
hope it helped! ( i wrote how to do it just so if you needed any extra help)
2009-02-04 6:40 pm
this is very simple.
x^2 - 25
x^2 = 25
x = underroot 25
which means + or - 5
which means (x-5) (x + 5)
this (a+b)(a-b) rule.
o.k.
x^2 - 25
x^2 = 25
x = underroot 25
which means + or - 5
which means (x-5) (x + 5)
this (a+b)(a-b) rule.
o.k.
2009-02-04 6:37 pm
a^2 - b^2 = (a + b)(a - b)
x^2 - 25
= x^2 - 5^2
= (x + 5)(x - 5)
x^2 - 25
= x^2 - 5^2
= (x + 5)(x - 5)
2009-02-04 6:22 pm
yeh it is possible. If only the sign is positive, it can't be factored.
(x^2-25)=(x+5)(x-5) answer//
(x^2-25)=(x+5)(x-5) answer//
2009-02-04 6:14 pm
x² – 25 = (x + 5)(x – 5)
2009-02-04 6:11 pm
(x+5)(x-5)
that is an example of difference of two squares
and then the factors would be sum and difference of two identical terms
that is an example of difference of two squares
and then the factors would be sum and difference of two identical terms
2009-02-04 6:10 pm
the easiest way is to recognize 25 is 5^2 and remember the formula a^2-b^2= (a+b)(a-b) . So the answer is (x+5)(x-5)
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