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 big rectangle segmented into four smaller rectangles. Rectangle $A$`A`, $B$`B`, $C$`C`, and $D$`D`. The top-left rectangle is labeled "$B$`B`" and has a light blue fill. The top-right rectangle is labeled "$D$`D`" and has a light purple fill. The bottom-left rectangle is labeled "$A$`A`" and has a light green fill. The bottom-right rectangle is labeled "$C$`C`" and has a light blue fill. To the left of the top row of rectangles, the number "$3$3" is present. To the left of the bottom row of rectangles, the letter "$y$`y`" is present. Below the bottom-left rectangle, the letter "$y$`y`" is present. Below the bottom-right rectangle, the number "$7$7" is present.

What is the area of rectangle $A$A?

What is the area of rectangle $B$B?

What is the area of rectangle $C$C?

What is the area of rectangle $D$D?

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

Expand and simplify the following:

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

Easy

1min

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

Easy

2min

5.02 Expansion

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