Question

Factorise x^2+ 12x-4y^2-24y

Answer 1

Answer:

Since both terms are perfect squares, factor using the difference of squares formula, Since both terms are perfect squares, factor using the difference of squares formula,

a2−b2=(a+b)(a−b) where a=x and b=2y.

a2−b2=(a+b)(a−b) where a=x and b=2y.(x−2y) (x+2y+12)

a2−b2=(a+b)(a−b) where a=x and b=2y.(x−2y) (x+2y+12)x(x + 2y + 12)- 2y(x +2y + 12)

a2−b2=(a+b)(a−b) where a=x and b=2y.(x−2y) (x+2y+12)x(x + 2y + 12)- 2y(x +2y + 12) x^2 + 2xy + 12x - 2xy -4y^2 - 24y

Now Combining Like Terms:

x^2 + 12x - 4y^2 -24y

Now Rearrange The Terms:

x^2 - 4y^2 + 12x - 24y

Hope this helped ♡