Question

factorise:9y^2/25-49z^2/4​

Answer 1

Answer:

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Step-by-step explanation:

Factoring: 9y2-25

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 : 9 is the square of 3

Check : 25 is the square of 5

Check : y2 is the square of y1