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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:
8x3y3 + 27a3
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Answer

8x3y3 + 27a3
= (2xy)3 + (3a)3
= (2xy + 3a)((2xy)2 - 2xy × 3a + (3a)2)
$\therefore$ [a3 + b3 = (a + b)(a2 - ab + b2)]
= (2xy + 3a)(4x2y2 - 6xya + 9a2)
$\therefore$ 8x3y3 + 27a3
= (2xy + 3a)(4x2y2 - 6xya + 9a2)

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