Question

factorise - 16x^2 - 24xy+ 9y^2-16 z^2

Answer 1

factorise -
16x^2 - 24xy+ 9y^2-16 z^2
(16x^2-24xy+9y^2) - 16z^2
{(4x)^2-2(4x*3y)+(3y)^2}-{4z}^2
(4x-3y)^2-(4z)^2
because we know that x^2-y^2 = (x+y)(x-y)
so, (4x-3y+4z) (4x-3y-4z)
thank you.