Question

factorise:( x⁴- y⁴ )
plz answer plz and explain

Answer 1

Hey there!☺

⚛Using identity (a+b)(a-b)

♦Hope it helped
#RESHAV 1

Answer 2

Given:

An algebraic expression ( x⁴ - y⁴ ).

To Find:

The factorized form of the polynomial.

Solution:

The given problem can be solved using algebraic identities.

1. The identity used to solve the given problem is,

• ( a² - b² ) = ( a + b )( a - b )

2. The given expression can be factorized using the above formula,

=> $( x^4-y^4) = ((x^2)^2 -(y^2)^2)$,

=> ( x⁴ - y⁴ ) = ( x² - y² ) * ( x² + y² ), ( From the mentioned identity )

=> The expression can be further simplified using the same identity,

=> ( x⁴ - y⁴ ) = ( x² + y² ) * ( x² - y² ),

=> ( x⁴ - y⁴ ) = ( x² + y² ) * ( x + y ) * ( x - y ).

3. The factorized form of the expression ( x⁴ - y⁴ ) is,

=> ( x⁴ - y⁴ ) = ( x² + y² ) * ( x + y ) * ( x - y ).

Therefore, the factorized form is ( x² + y² ) * ( x + y ) * ( x - y ).