iGCSE (2021 Edition)

# 5.02 Expansion

## Interactive practice questions

The area of the figure below is $\left(y+3\right)\left(y+7\right)$(y+3)(y+7). 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
Approx 3 minutes
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Fill in the blanks to make the expression true.

Expand and simplify the following:

$-\left(x+5\right)\left(x+2\right)$(x+5)(x+2)

Expand the following perfect square: $9\left(3x+8y\right)^2$9(3x+8y)2