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5. Factorization of Algebraic Expressions
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Q9 of 111 Page 5

Factorize:

8a3-27b3-36a2b+54ab2

Given,


8a3 - 27b3 - 36a2b+54ab2,


= (2a)3 - (3b)3 - 18ab (2a - 3b)


= (2a)3 - (3b)3 - 3×2a×3b (2a – 3b)


= (2a - 3b)3


= (2a - 3b) (2a - 3b) (2a - 3b)


More from this chapter

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7

Factorize:

8x3+y3+12x2y+6xy2

8

Factorize:

8a3+27b3+36a2b+54ab2

10

Factorize:

x3-12x(x-4)-64

11

Factorize:

a3x3-3a2bx2+3ab2x-b3

Questions · 111
5. Factorization of Algebraic Expressions
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