Question

(3x-4y)^2-(3x-4y)(3x+4y)

Answer 1

Answer:

$-24xy + 32y^2$

Step-by-step explanation:

Hello!

We can use the special binomial product formulas:

• $(a + b)^2 = a^2 + 2ab + b^2$
• $(a + b)(a - b) = a^2 - b^2$

Simplify

• $(3x - 4y)^2 - (3x - 4y)(3x + 4y)$
• $(9x^2-24xy+16y^2) - (9x^2 - 16y^2)$
• $9x^2 - 9x^2 - 24xy + 16y^2 + 16y^2$
• $-24xy + 32y^2$

The simplified form is $-24xy + 32y^2$