Question

factorise x⁴ - y⁴. .​

Answer 1

Answer:

x⁴ - y⁴

=(x²)²-(y²)²

=(x²-y²)(x²+y²)

=(x-y)(x+y)(x²+y²)

Step-by-step explanation:

hope it's helpful

Answer 2

ANSWER

Factoring: x⁴-y⁴

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof :(A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : x⁴ is the square of x²

Check : y⁴ is the square of y²

Factorization is : (x² + y²) • (x² - y²)

Trying to factor as a Difference of Squares: Factoring: x² - y²

Check : x² is the square of x¹

Check : y² is the square of y¹

Factorization is :x + y) • (x - y)

Final result :

(x2 + y2) • (x + y) • (x - y)

HOPE IT HELPED !!!!!