Question

Find the product 24x²(1−2x) and evaluate it for x = 2.

Answer 1

$$\begin{gathered} {\mathrm{24x}}^2(1-2x) \\ =24{\mathrm{x}}^2\times 1-24{\mathrm{x}}^2\times 2\mathrm{x} \\ =24{\mathrm{x}}^2-24\times 2\times {\mathrm{x}}^2\times \mathrm{x} \\ =24{\mathrm{x}}^2-48{\mathrm{x}}^3 \\ \mathrm{W}\mathrm{h}\mathrm{e}\mathrm{n}\mathrm{x}=2: \\ \mathrm{L}.\mathrm{H}.\mathrm{S}.=24{\mathrm{x}}^2(1-2\mathrm{x})=24\times 2^2(1-2\times 2)=96(1-4)=96\times (-3)=-288 \\ \mathrm{R}.\mathrm{H}.\mathrm{S}.\hspace{0.17em}=24{\mathrm{x}}^2-48{\mathrm{x}}^2=24\times 2^2-48\times 2^3=96-384=-288 \\ \hspace{0.17em}\mathrm{L}.\mathrm{H}.\mathrm{S}.=\mathrm{R}.\mathrm{H}.\mathrm{S}. \\ \therefore 24{\mathrm{x}}^2(1-2\mathrm{x})=24{\mathrm{x}}^2-48{\mathrm{x}}^3 \end{gathered}$$