Find the product 24 x^2(1-2 x) and evaluate it fore x=2. - Vidyadip

Question

Find the product $24 x^2(1-2 x)$ and evaluate it fore $x=2$.

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Answer

$24 X^2(1-2 X)$
$= 24 X^2 \times 1-24 X^2 \times 2 X$
$= 24 X^2-24 \times 2 \times X^2 \times X$
$= 24 X^2-48 X^3$
When $x=2$,
$\text { L.H.S }=24 x^2(1-2 x)$
$=24 \times 2^2(1-2 \times 2)$
$=96(1-4)$
$=96 \times(-3)$
$=-288$
$\text { R.H.S. }=24 x^2-48 x^2$
$=24 \times 2^2-48 \times 2^3$
$=96-384$
$=-288$
$\text { L.H.S = R.H.S. }$
$\therefore 24 x^2(1-2 x)$
$=24 x^2-48 x^3$

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