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Factorization Of Algebraic Expressions — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsFactorization Of Algebraic Expressions3 Marks
Question
Factorize the following expressions:
$1029 - 3x^3$
✓

Answer

$1029 - 3x^3$
$= 3(343 - x^3)$
$= 3((7)^3 - x^3)$
$= 3(7 - x)(72 + 7x + x^2)$
$\big[\therefore$ $a^3- b^3= (a - b)(a^2 + ab + b^2)$$\big]$
$= 3(7 - x)(49 + 7x + x^2)$
$\therefore$ $1029 - 3x^3 = 3(7 - x)(49 + 7x + x^2)$

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