New Zealand
Level 6 - NCEA Level 1

# Further factorisations

## Interactive practice questions

Factorise the following expression by taking out the common factor: $3p\left(3q-r+s\right)+20t\left(3q-r+s\right)$3p(3qr+s)+20t(3qr+s)

Easy
Less than a minute

Factorise the following expression:

$pqr-p^2q^2r^2-p^3q^3r^3$pqrp2q2r2p3q3r3

Factor $3x^2\left(5x-3\right)+x^3\times5$3x2(5x3)+x3×5.

Factorise the expression $2\left(x+9\right)\left(x-5\right)^3+3\left(x+9\right)^2\left(x-5\right)^2$2(x+9)(x5)3+3(x+9)2(x5)2.

### Outcomes

#### NA6-5

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

#### NA6-6

Generalise the properties of operations with rational numbers, including the properties of exponents

#### 91027

Apply algebraic procedures in solving problems