2(x+2y)^2 + 3(x+2y) +1

Question

asked Jul 17, 2023 178k views

1 Answer

Padn · Answer 1 · 2023-07-23T08:37:19+0000

Answer:

3x+2y^2+2(x+y)+2y+1

Explanation:

1) Split the second term in
$2{(x+2y)}^(2)+3(x+2y)+1$ into two terms.

1 - Multiply the coefficient of the first term by the constant term.

2*1=2

2 - Ask: Which two numbers add up to 3 and multiply to 2?

2 and 1.

3 - Split
3x+2y as the sum of
2(x+y) and
x+2y .

2x+2y^2+2(x+y)+x+2y+1

2) Collect like terms.

(2x+x)+2y^2+2(x+y)+2y+1

3) Simplify.

3x+2y^2+2(x+y)+2y+1

Thank you,

Eddie