Q8 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

All 111 →
6

Factorize:

x3+8y3+6x2y+12xy2

 7

Factorize:

8x3+y3+12x2y+6xy2

 9

Factorize:

8a3-27b3-36a2b+54ab2

 10

Factorize:

x3-12x(x-4)-64