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2.04 Special products

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()
$=$= $\editable{}+\editable{}+\editable{}+\editable{}$+++
$=$= $\editable{}+\editable{}+\editable{}$++
Easy
2min

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

Easy
1min

$\left(8+6\right)^2=8^2+6^2$(8+6)2=82+62

Easy
1min

Complete the perfect square:

Easy
< 1min
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Outcomes

II.A.SSE.1

Interpret quadratic and exponential expressions that represent a quantity in terms of its context.

II.A.SSE.1.a

Interpret parts of an expression, such as terms, factors, and coefficients.

II.A.APR.1

Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

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