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Mathematics
5. Factorization of Algebraic Expressions
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Q14 of 111 Page 5

Factorize each of the following expressions:

2a3+16b3+c3-12abc

Given,


=


This can be written in form ,


=


And ,


Hence ,


=


=


Thus the factors of


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12

Factorize each of the following expressions:

3a3-b3-5c3-3abc

13

Factorize each of the following expressions:

8x3-125y3+180xy+216

15

Find the value of x3+y3-12xy+64,whenx+y=-4.

16

Multiply:

(i) x2+y2+z2-xy+xz+yzbyx+y-z


(ii) x2+4y2+z2+2xy+xz-2yzbyx-2y-z


(iii) x2+4y2+2xy+-3x+6y+9byx-2y+3


(iv) 9x2+25y2+15xy+12x-20y+16by3x-5y+4

Questions · 111
5. Factorization of Algebraic Expressions
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