Question

factorise 2x^4-162y^4

Answer 1

Answer:

the answer of this question is 8x-648=640

Answer 2

Step-by-step explanation:

Given:-

The expression is 2x^4-162y^4

To find:-

factorise 2x^4-162y^4

Solution:-

Given expression is 2x^4 - 162y^4

=>2(x^4-81y^4)

=>2[(x^2)^2 - (9y^2)^2]

It is in the form of a^2-b^2

we know that

a^2-b^2=(a+b)(a-b)

=>2[(x^2+9y^2)(x^2-9y^2)]

=>2(x^2+9y^2)(x^2-(3y)^2)]

=>2(x^2+9y^2)(x+3y)(x-3y)

Answer:-

2x^4-162y^4=2(x^2+9y^2)(x+3y)(x-3y)

Used formula:-

• (a+b)(a-b)=a^2 - b^2