What is (a+2b)^3-b^3 ?

The solution to (a+2b)^3-b^3 is a^3+6a^2b+12ab^2+7b^3

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simplify (a+2b)^3-b^3

simplify

(a + 2 b)^{3} - b^{3}

a^{3} + 6 a^{2} b + 12 a b^{2} + 7 b^{3}

Solution steps

(a + 2 b)^{3} - b^{3}

Expand

(a + 2 b)^{3} : a^{3} + 6 a^{2} b + 12 a b^{2} + 8 b^{3}

= a^{3} + 6 a^{2} b + 12 a b^{2} + 8 b^{3} - b^{3}

Add similar elements:

8 b^{3} - b^{3} = 7 b^{3}

= a^{3} + 6 a^{2} b + 12 a b^{2} + 7 b^{3}

(x + 1) (x - 1) (y - 1) (y + 1)

- (x - 1)^{3} (x + 1)^{2}

343 p 12 + q^{2}

cos (- 4) x

(x + 2)^{- 2}