Question

factories 25x2-64y2
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Answer 1

Answer:

(5x+8y)(5x−8y)

Explanation:

Factoring:  25x2-64y2  

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 :  25  is the square of  5  

Check : 64 is the square of 8

Check :  x2  is the square of  x1  

Check :  y2  is the square of  y1  

Factorization is :       (5x + 8y)  •  (5x - 8y)

Answer 2

Answer:

(5x+8y)⋅(5x−8y)

Explanation:

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