Question

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

Answer 1

`-24xy + 32y^2`

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`