Question

256x to power 8 - y to power 8

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

28x8 - y8

STEP

2

:

Trying to factor as a Difference of Squares

2.1 Factoring: 256x8-y8

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 : 256 is the square of 16

Check : x8 is the square of x4

Check : y8 is the square of y4

Factorization is : (16x4 + y4) • (16x4 - y4)