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6.03 Multiplying special products

Adaptive
Worksheet

Interactive practice questions

Complete the proof that $\left(a+b\right)^2=a^2+2ab+b^2$(a+b)2=a2+2ab+b2.

$\left(a+b\right)^2$(a+b)2 $=$= $\left(\editable{}\right)\left(\editable{}\right)$()()
$=$= $a\left(\editable{}\right)+b\left(\editable{}\right)$a()+b()
$=$= $\editable{}+\editable{}+\editable{}+\editable{}$+++
$=$= $\editable{}+\editable{}+\editable{}$++
Medium
2min

Complete the proof that $\left(a-b\right)^2=a^2-2ab+b^2$(ab)2=a22ab+b2.

Medium
1min

Complete the distribution of the perfect square: $\left(x-3\right)^2$(x3)2

Easy
< 1min

Distribute the following perfect square: $\left(x+3\right)^2$(x+3)2

Easy
< 1min
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Outcomes

A1.A.APR.A.1

Add, subtract, and multiply polynomials. Use these operations to demonstrate that polynomials form a closed system that adhere to the same properties of operations as the integers.

A1.MP1

Make sense of problems and persevere in solving them.

A1.MP3

Construct viable arguments and critique the reasoning of others.

A1.MP5

Use appropriate tools strategically.

A1.MP7

Look for and make use of structure.

A1.MP8

Look for and express regularity in repeated reasoning.

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