Question

4w²-25 Factor the differences of two squares

Answer 1

Factoring: 4w2-25

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 : 4 is the square of 2

Check : 25 is the square of 5

Check : w2 is the square of w1

Factorization is : (2w + 5) • (2w - 5)

Hope it helps u,