Question
Factorize the following expressions:
$1029-3 x^3$
$1029-3 x^3$
✓
Answer
$1029-3 x^3$
$=3\left(343-x^3\right)$
$=3\left((7)^3-x^3\right)$
$=3(7-x)\left(72+7 x+x^2\right)$
${\left[\therefore a^3-b^3=(a-b)\left(a^2+a b+b^2\right)\right]}$
$=3(7-x)\left(49+7 x+x^2\right)$
$\therefore 1029-3 x^3=3(7-x)\left(49+7 x+x^2\right)$
$=3\left(343-x^3\right)$
$=3\left((7)^3-x^3\right)$
$=3(7-x)\left(72+7 x+x^2\right)$
${\left[\therefore a^3-b^3=(a-b)\left(a^2+a b+b^2\right)\right]}$
$=3(7-x)\left(49+7 x+x^2\right)$
$\therefore 1029-3 x^3=3(7-x)\left(49+7 x+x^2\right)$
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