Question

Imagine your friend missed class today. How would you explain to them how you would solve the problem below to them? Use complete sentences for full written communication points.

Problem:
(4x+3)(5x-2)

Answer 1

`=20x^(2) +2x-6`

Explanation:

First step: you're going to multiply each variable from the first bracket to the first and second variable from the second bracket:

=4x(5x)+4x(-2)

=
`20x^(2) -8x`

Second step: now you're going to do the same thing but for the second variable:

=2(5x)+3(-2)

=10x-6

we're going to add the answers that we got from the first two steps to get the final answer:

`=(20x^(2) -8x)+(10x-6)\\`

`=20x^(2) +(-8x+10x)+(-6)\\=20x^(2) +2x-6`

Answer 2

To solve the problem, first you use distributive property by multiplying 4x to 5x and -2 then you multiply 3 to 5x and -6 which gives you 20x^2 - 8x + 15x -6. then you add all the variables together and all the numbers together which gives you 20x^2 + 7x - 6.