Question

factorise 25 x square - 64 y square​

Answer 1

Answer:

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

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