Question

32 x square y square - 8 factorize​

Answer 1

32x²y² - 8

this to slove?

Answer 2

Step by Step Solution:
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STEP
1
:
Equation at the end of step 1

25x2 - 8
STEP
2
:

STEP
3
:
Pulling out like terms

3.1 Pull out like factors :

32x2 - 8 = 8 • (4x2 - 1)

Trying to factor as a Difference of Squares:

3.2 Factoring: 4x2 - 1

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 : 4 is the square of 2
Check : 1 is the square of 1
Check : x2 is the square of x1

Factorization is : (2x + 1) • (2x - 1)

Final result :
8 • (2x + 1) • (2x - 1)