Question

Factorize: 9x^2 - 24xy + 16y^2

Answer 1

`(3x -4y)^2`

Explanation:

`9x^2 - 24xy + 16y^2 = (3x)^2 - 24xy + (4y)^2`

`=(3x)^2 -2(3x * 4y) + (4y)^2\\`

a = 3x , b = 4y . The expression
`a^2 - 2ab + b^2 = (a-b)(a-b) =(a-b)^2`

`=(3x -4y)(3x - 4y)`

`9x^2 - 24xy + 16y^2 = (3x -4y)^2`

Answer 2

9x²-24xy+16y²

(3x)²-2.(3x)(4y) +(4y)²

(3x-4y)²

(3x-4y)(3x-4y)