Tuesday, July 23, 2013

Factorization



Factorize:            (x + y)3 – (x3 + y3)


Answer:
 (x + y)3 – (x3 + y3)


= x3 + y3 +3x2y + 3xy2 - x3 - y3


= 3xy(x + y)

Factorize:              4x2 + 8x + 3




Answer:


4x2 + 8x + 3



= 4x2 + 6x+ 2x  + 3



= 2x(2x +3) + 1(2x + 3)



= (2x + 1)(2x + 3)
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