NZ Level 6 (NZC) Level 1 (NCEA)
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Perfect squares

Interactive practice questions

By expanding $\left(b+7\right)^2$(b+7)2, we want to determine the factorisation for $b^2+14b+49$b2+14b+49.

a

First expand $\left(b+7\right)^2$(b+7)2.

b

Hence, factorise $b^2+14b+49$b2+14b+49.

Easy
Approx 2 minutes
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By expanding $\left(y-5\right)^2$(y5)2, we want to determine the factorisation for $y^2-10y+25$y210y+25.

Factorise $x^2+10x+25$x2+10x+25

Factorise $x^2+14x+49$x2+14x+49

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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