New Zealand
Level 6 - NCEA Level 1

# Factorise further algebraic expressions

## Interactive practice questions

Use the image below to answer the following questions:

a

Write an expression in expanded form for the area of the shaded region.

b

Write the expression for the area as a factorised polynomial.

Easy
Approx 3 minutes

Factorise 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)

Fully factorise $4b\left(4y+5x\right)+c\left(4y+5x\right)+3a\left(4y+5x\right)$4b(4y+5x)+c(4y+5x)+3a(4y+5x).

Factorise the following expression:

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

### Outcomes

#### NA6-5

Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns

#### 91027

Apply algebraic procedures in solving problems