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5. Factorization of Algebraic Expressions
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Q5 of 111 Page 5

Factorize:

a3-3a2b+3ab2-b3+8

Given,


a3 - 3a2b + 3ab2 - b3 + 8,


= {(a)3 – (b)3 -3ab (a-b)} +8


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


= (a – b +2) {(a - b)2 +(2)2 +2(a - b)}


= (a - b +2)(a2 -2ab +b2 +4+2a – 2b)


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3

Factorize:

x3+1+x2+2x

4

Factorize:

8x3+27y3+36x2y+54xy2

6

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x3+8y3+6x2y+12xy2

7

Factorize:

8x3+y3+12x2y+6xy2

Questions · 111
5. Factorization of Algebraic Expressions
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