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Answer:
Changes made to your input should not affect the solution:
(1): "y2" was replaced by "y^2". 1 more similar replacement(s).
STEP
1
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STEP
2
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Pulling out like terms
2.1 Pull out like factors :
x2 - xy2 = x • (x - y2)
Trying to factor as a Difference of Squares:
2.2 Factoring: x - y2
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 : x1 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares
Final result :
x • (x - y2)