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2.03 Binomial expansion

Interactive practice questions

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

$5\left(y-8\right)-\left(y-5\right)$5(y8)(y5)

A

$y\left(y-5\right)+y-8$y(y5)+y8

B

$y\left(y-5\right)+8\left(y-8\right)$y(y5)+8(y8)

C

$y\left(y-8\right)-5\left(y-8\right)$y(y8)5(y8)

D
Easy
< 1min

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.

Easy
2min

Fill in the blanks to make the expression true.

Easy
1min

Fill in the blanks with a binomial to make the expression true.

Easy
< 1min
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Outcomes

VCMNA306

Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate.

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