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Factorisation of Polynomials — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsFactorisation of Polynomials2 Marks
Question
Factorise:
$1-27 a^3$
✓

Answer

$1-27 a^3$
$=(1)^3-(3 a)^3$
$=(1-3 a)\left[(1)^2+1 \times 3 a+(3 a)^2\right] \text { Since } a^3-b^3=(a-b)\left(a^2+a \times b+b^2\right)$
$=(1-3 a)\left(1+3 a+9 a^2\right)$^2)

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