factorise: 27a3+ 1/64b3+27a2/4b +9a/16b2

  • 0

Using identity: (a + b)3 = a3 + b3 + 3ab(a+b)
27a3 + 1/64b3 + 27a2/4b + 9a/16b2
= (3a)3 + (1/4b)3 + 3*3a*(1/4b) (3a + 1/4b)
= (3a + 1/4b)3
= (3a + 1/4b)(3a + 1/4b)(3a + 1/4b)
  • 7
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