Q:

I need some help on these... (x - 2) (3x - 4) I think the answer for this one is: 4x - 6(x + 6)^2 and I don't know what this answer could be. I'm probably off on the first one too... Can you show the step by step? Thank you so much in advance! also I'll mark brainliest

Accepted Solution

A:
3x^2 - 10x + 8

x^2 + 12x + 36



Let’s use the FOIL method of multiplying binomials. (First, Outside, Inside, Last).

Start by multiplying the *first* monomial in each binomial. x * 3x = 3x^2

Then, multiply the *outside* monomials. (First in the first binomial, last in the last binomial) x * -4 = -4x

Now, multiply the *inside* monomials. (Last in the first binomial, first in the last binomial) -2 * 3x = -6x

Finally, multiply the *last* monomial in each binomial. -2 * -4 = 8

Now just add these all together.

3x^2 + (-4x) + (-6x) + 8

3x^2 - 4x - 6x + 8

3x^2 - 10x + 8 is the answer.



Now, the second one is very similar. You can rewrite it as (x + 6)(x + 6), since ^2 means multiply everything by itself.

F: x * x = x^2

O: x * 6 = 6x

I: 6 * x = 6x

L: 6 * 6 = 36

Add: x^2 + 6x + 6x + 36

x^2 + 12x + 36 is the answer.



If I helped, please mark this answer as Brainliest to help me advance.