Use FOIL to multiply:(5x-1)(3x-2)?

FOIL =
First (5x * 3x = 15x^2)
Outside (5x * -2 = -10x)
Inside (-1 * 3x = -3x)
Last (-1 * -2 = 2)

Therefore:
15x^2 - 10x - 3x + 2
= 15x^2 - 13x + 2 (final answer)

Hope this helps!

= (5x - 1)(3x - 2)
= 15x² - 10x - 3x + 2
= 15x² - 13x + 2

Answer: 15x² - 13x + 2

sure, you're on the excellent music! stable interest! So, many times, we do the "x". Ever heard of it? that's what i became into taught. something that multiplies to -14 and the further sum is 13. What are the climate? i'm getting 14 and -a million. Why? 14 x -a million=-14 and 14-a million=13. So now, we replace the midsection term with those. the hot equation is: 7x^2 + 14x - x - 2 = 0 Now we proceed into factoring. permit's attempt to get (x+2) from each and each area. element 7x out of the 1st 2 new words, and element -a million from the final. 7x(x+2) - a million(x+2) = 0 combine, top? (7x-a million)(x+2)=0 and you're somewhat accomplished! resolve for ab=0, a=0, or b=0. additionally, you mustn't come across a large determination * extensive form = -2. constantly try this for a formula in this type of ax^2 + bx + c! An occasion of this quadratic equation is: 2x^2 + 3x + 4 ax^2 + bx + c you may purely use that c term in this type of x^2 + bx + c. as an occasion: x^2 + 13x - 2 x^2 + 13x - 2 that's the only time you ought to use # * # for the -2. constantly do a * c! btw: the respond is x=-2 and x=a million/7. ab=0, a=0, or b=0. So permit the climate be set to 0. (x+2)(7x-a million)=0 x+2=0 x=-2 7x-a million=0 7x=a million x=a million/7

15 x ² - 10 x - 3 x + 2
15 x ² - 13 x + 2

First: 5x * 3x
Outter: 5x * -2
Inner: -1 * 3x
Last: -1 * -2

It might be easier to re-write the minus as plus a negative. So, (5x+-1)(3x+-2) = 15x^2+-10x+-3x+2 = 15x^2-13x+2

(5x - 1)(3x - 2)
= 5x*3x - 1*3x - 5x*2 + 1*2
= 15x^2 - 3x - 10x + 2
= 15x^2 - 13x + 2

Then 15x^2 - 10x -3x +2 =15x^2 - 13x +2

OK

First = 15x^2
Outside = -10x
Inside = -3x
Last = +2

15x^2 -13x + 2

Hope that helps.

Multiply

First
Outside
Inside
Last

15x^2-10x-3x+2
15x^2-13x+2

15x^2 -10x -3x +2
=15x^2 - 13x + 2