Question

factorise the following expressions 4x(x-2y)²-12y(x-2y)²​

Answer 1

Answer:

$4x^{2} (x-3y)$

Step-by-step explanation:

$4x(x-2y)^{2} - 12y(x-2y)^{2} \\=4x(x^{2} + 4y^{2} -4xy) -12y (x^{2} + 4y^{2} -4xy)\\=4x^{3} + 16xy^{2} - 16x^{2} y - 12x^{2} y - 48y^{2} + 48x^{2} y\\= 4x^{3} - 12x^{2} y\\= 4x^{2} (x-3y)$

Answer 2

Step-by-step explanation:

4x(x²-4y²)-12y(x²-4y²)

(4x-12y). (x²-4y²)

4x³-16xy²-12yx²-48y³