Question

simplify
(4x + 5y] [4x - 5y] -(
3 x+2y) (3x -2y)​

Answer 1

$(4x + 5y)(4x - 5y) -(3 x+2y) (3x -2y)$

since,

${x}^{2} - {y}^{2} = (x - y)(x + y)$

${4x}^{2} - 5y {}^{2} - 3 {x}^{2} - 2 {y}^{2} \\ = {x}^{2} - {7y}^{2}$

Hope this will be helpful.

Answer 2

Answer: 5x^2 - 29y^2

Step-by-step explanation:

(4x+5y)(4x-5y) - (3x+2y)(3x-2y)

Using identity -> a^2 - b^2 = (a+b)(a-b)

(4x)^2 - (5y)^2- (3x)^2 - (2y)^2

16x^2 - 25y^2 - 9x^2 - 4y^2

5x^2 - 29y^2