Question
Find the product $24 x^2(1-2 x)$ and evaluate it fore $x=2$.
✓
Answer
$24 \mathrm{X}^2(1-2 \mathrm{X})$
$=24 \mathrm{X}^2 \times 1-24 \mathrm{X}^2 \times 2 \mathrm{X}$
$=24 \mathrm{X}^2-24 \times 2 \times \mathrm{X}^2 \times \mathrm{X}$
$=24 \mathrm{X}^2-48 \mathrm{X}^3$
When $x=2$,
$\text { L.H.S }=24 x^2(1-2 x)$
$=24 \times 2^2(1-2 \times 2)$
$=96(1-4)$
$=96 \times(-3)$
$=-288$
$\text { R.H.S. }=24 x^2-48 x^2$
$=24 \times 2^2-48 \times 2^3$
$=96-384$
$=-288$
$\text { L.H.S }=\text { R.H.S. }$
$\therefore 24 x^2(1-2 x)$
$=24 x^2-48 x^3$
$=24 \mathrm{X}^2 \times 1-24 \mathrm{X}^2 \times 2 \mathrm{X}$
$=24 \mathrm{X}^2-24 \times 2 \times \mathrm{X}^2 \times \mathrm{X}$
$=24 \mathrm{X}^2-48 \mathrm{X}^3$
When $x=2$,
$\text { L.H.S }=24 x^2(1-2 x)$
$=24 \times 2^2(1-2 \times 2)$
$=96(1-4)$
$=96 \times(-3)$
$=-288$
$\text { R.H.S. }=24 x^2-48 x^2$
$=24 \times 2^2-48 \times 2^3$
$=96-384$
$=-288$
$\text { L.H.S }=\text { R.H.S. }$
$\therefore 24 x^2(1-2 x)$
$=24 x^2-48 x^3$
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