Year 11 Maths - Methods Algebra

Expansion

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Questions

Question 1

17550

Expand and simplify \({(x + 2)^3}\)

Answer

\({x^3} + 6{x^2} + 12x + 8\)

Worked Solution

\begin{aligned}
(x+2)^{3} &=(x+2)(x+2)^{2} \\
&=(x+2)\left(x^{2}+4 x+4\right) \\
&=x^{3}+4 x^{2}+4 x+2 x^{2}+8 x+8 \\
&=x^{3}+6 x^{2}+12 x+8
\end{aligned}

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