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Factorization Of Algebraic Expressions [NEW] — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsFactorization Of Algebraic Expressions [NEW]2 Marks
Question
Factorize the following expressions:
a12 + b12
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Answer

= (a4)3 + (b4)3
= (a4 + b4)((a4)2 - a4 × b4 + (b4)2)
$\big[\therefore$a3 + b3 = (a + b)(a2 - ab + b2)$\big]$
= (a4 + b4)(a8 - a4b4 + b8)
$\therefore$ a12 + b12 = (a4 + b4)(a8 - a4b4 + b8)

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