Question

factorise the following x⁴- y²​

Answer 1

Step-by-step explanation:

(x^2)^2-y^2

(x^2-y)(x^2+y)

Answer 2

The answer to the factorisation is, (x²+y) (x²-y)

Given : The given algebraic expression is (x⁴-y²)

To find : The factorisation of the given algebraic expression.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to factorise the given algebraic expression)

Here, we will be using general algebraic formula.

So,

= x⁴-y²

= (x²)² - (y)²

= (x²+y) (x²-y)

(This cannot be further factorised. That's why will be considered as the final result.)

Used formula :

• a²-b² = (a+b) (a-b)

Hence, the answer to the factorisation is, (x²+y) (x²-y)