Question

4. Factorise: x^4 y^4 - 256z^4​

Answer 1

Answer:

Step-by-step explanation:

x⁴y⁴-265z⁴

=(xy)⁴-(4z)⁴

={(xy)²}²-{(4z)²}²

={(xy)²+(4z)²}{(xy)²-(4z)²}

={(xy)²+(4z)²}(xy+4z)(xy-4z)

=(x²y²+16z²)(xy+4z)(xy-4z).

Hope it will help you.

Answer 2

Step-by-step explanation:x⁴y⁴-256z⁴

(xy)⁴-(4z)⁴(x²y²)²-(16z²)²

this is like

a²-b²= (a+b)(a-b)

so,

(x²y²+16z)(x²y²-16z²)

and this can also be written as

(x²y²+16z)(xy-4z)²(x²y²+16z)(xy+4z)(xy-4z)

Hope it will help you