Question

multiply(x-2y+3) by (x+2y)​

Answer 1

Answer:

x^2 - 4y^2 + 6y

Step-by-step explanation:

(x - 2y + 3) x (x + 2y)

First multiply by x then 2y

= x^2 - 2xy + 3x +2xy - 4y^2 + 6y

write the square terms first (-2xy and +2xy gets cancelled)

= x^2 - 4y^2 + 6y

Answer 2

$((x - 2y) + 3) \times (x + 2y) \\ = (x - 2y)(x + 2y) + 3(x + 2y) \\ = {x}^{2} - (2y) {}^{2} + 3x + 6y \\ = {x}^{2} - {4y}^{2} + 3x + 6y$