# 2.03 Factoring polynomials completely

## Interactive practice questions

Factor the following expression by taking out the common factor:

$8x\left(10y-z+w\right)-9u\left(10y-z+w\right)$8x(10yz+w)9u(10yz+w)

Easy
Less than a minute

Factor the following expression:

$4p^2q^2-81c^2d^2$4p2q281c2d2

Factor the following expression:

$9p^2+24pq+16q^2$9p2+24pq+16q2

Factor the following expression:

$9p^2-30pq+25q^2$9p230pq+25q2.

### Outcomes

#### MGSE9-12.A.SSE.2

Use the structure of an expression to rewrite it in different equivalent forms. For example,see x^4 - y^4 as (x^2)^2 - (y^2)^2, thus recognizing it as a difference of squares that can be factored as (x^2 - y^2)(x^2 + y^2).