NZ Level 6 (NZC) Level 1 (NCEA)
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Expand perfect squares

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

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

Consider the following expressions.

Outcomes

NA6-5

Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns

91027

Apply algebraic procedures in solving problems

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