Question

solve x⁴-y⁴ what is the answer​

Answer 1

Answer:

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)

1.2 Factoring: x2 - y2

Check : x2 is the square of x1

Check : y2 is the square of y1

Factorization is : (x + y) • (x - y)

Answer 2

Answer:

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

.

Step-by-step explanation:

$x⁴-y⁴ \\ \\ {( {x}^{2} )}^{2} - {( {y}^{2}) }^{2} \\ \\ ( {x}^{2} + {y}^{2} ) \: ( {x}^{2} - {y}^{2} ) \\ \\ ( {x}^{2} + {y}^{2} )(x + y) \: (x - y) \\ \\ this \: is \: ur \: required \: answer \: :):):):):)$