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AustraliaNSW
Stage 5.1-2

2.08 Binomial expansion

Interactive practice questions

The area of the figure below is $\left(y+3\right)\left(y+6\right)$(y+3)(y+6). We want to find another expression for this area by finding the sum of the areas of the four smaller rectangles.

a

What is the area of rectangle $A$A?

b

What is the area of rectangle $B$B?

c

What is the area of rectangle $C$C?

d

What is the area of rectangle $D$D?

e

Using the areas of each rectangle, write an equivalent expression for the area of the figure.

Easy
2min

Fill in the blanks to make the expression true.

Easy
1min

Which of the following expressions is equivalent to $\left(y-5\right)\left(y-8\right)$(y5)(y8)?

Easy
< 1min

Expand and simplify the following:

$\left(x+2\right)\left(x+6\right)$(x+2)(x+6)

Easy
1min
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Outcomes

MA5.2-6NA

simplifies algebraic fractions, and expands and factorises quadratic expressions

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