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Australia
Year 10

1.07 Factorising binomial products

Interactive practice questions

Identify the two expressions that are perfect squares.

$k^4+4k^2+4$k4+4k2+4

A

$k^2-9k+81$k29k+81

B

$k^2+4$k2+4

C

$1^2-k+k^2$12k+k2

D

$k^2+5k+\frac{25}{4}$k2+5k+254

E
Easy
1min

Determine if each expression is a difference of two squares.

Easy
2min

Determine if each expression is a difference of two squares.

Easy
2min

Fully factorise: $5\left(a+b\right)+v\left(a+b\right)$5(a+b)+v(a+b)

Easy
< 1min
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Outcomes

ACMNA230

Factorise algebraic expressions by taking out a common algebraic factor

ACMNA231

Simplify algebraic products and quotients using index laws

ACMNA232

Apply the four operations to simple algebraic fractions with numerical denominators

ACMNA233

Expand binomial products and factorise monic quadratic expressions using a variety of strategies

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