Question

factorization of x⁴-y⁴is​

Answer 1

Answer:

pls mark as brainlist answer

Answer 2

Reformatting the input :Changes made to your input should not affect the solution: (1): "y⁴" was replaced by "y^4". 1 more similar replacement(s).

STEP1:Trying to factor as a Difference of Squares 1.1 Factoring: x⁴-y⁴

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

can be factored into (A+B) • (A-B)Proof : (A+B) • (A-B) =

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)

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 THIS HELPS YOU

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