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t
( x2 ) ( x y2)
-
= 10к? уз​


Sagot :

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

:

STEP

2

:

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)