Algebra

NZ Level 6 (NZC) Level 1 (NCEA)

Expand binomial expressions

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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