Question

Write the expression 7x^3-28xy^2 as the product of 3 factors

Answer 1

7·x^3 - 28·x·y^2

= 7·x·(x^2 - 4·y^2)

= 7·x·(x + 2·y)·(x - 2·y)

Answer 2

7x(x - 2y)(x + 2y).

Explanation:

First take out the GCF which is 7x:

7x^3-28xy^2

= 7x(x^2- 4y^2)

Now factor the expression in the brackets:

= 7x(x - 2y)(x + 2y) (answer).