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25x^4-8y^4 is not the difference of two squares. Identify the correct explanation for this statement.

User Blitzmann
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1 Answer

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20 votes

Answer:

8y4 is not a perfect square.

Explanation:

Knowing that; A difference of two perfect squares, A2 - B2 can also be factored into (A+B) • (A-B)

Verification;

(A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Notes;

AB = BA is the commutative property of multiplication.

AB + AB equals zero and is therefore eliminated from the expression.

Answer:

25 is the square of 5

8 is not a square

User Jverzani
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