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Algebra
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India
Class VIII

Expand binomial expressions

Lesson
Practice

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 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.
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

Fill in the blanks to make the expression true.

Easy
< 1min

What expression makes the equation true?

Easy
< 1min
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Outcomes

8.A.AE.1

Multiplication and division of algebraic exp.(Coefficient should be integers)

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