Factorise: (2x + 1)^3 – (x + 1)^3
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Solution:
(2x + 1)^3 – (x + 1)^3
= 2x^3 + 1^3 + 3*2x*1(2x+1) – ( x^3 + 1^3 + 3*x*1(x+1))
= 2x^3 + 1^3 + 6x(2x+1) – x^3 - 1^3 - 3x(x+1)
= 8x^3 + 1 + 12x^2 + 6x - x^3 - 1 - 3x^2 + 3x
= 7x^3 + 9x^2 + 9x
Hence, The Answer is 7x^3 + 9x^2 + 9x
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