Question

What is the formula for a^3-b^3??

Answer 1

Explanation:

`{(a - b)}^(3) = {(a - b)}^(2) (a - b)`

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

`{a}^(3) - {b}^(3) + 3ab(a - b)= {(a - b)}^(2) (a - b)`

`{a}^(3) - {b}^(3)= {(a - b)}^(2) (a - b) + 3ab(a - b)`

`{a}^(3) - {b}^(3) = (a - b)(( {a}^(2) - 2ab + {b}^(2) ) - 3ab)`

`{a}^(3) - {b}^(3) = (a - b)( {a}^(2) + ab + {b}^(2) )`

Answer 2

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Explanation:

The difference of two cubes formula is given as:

`a^3-b^3 =(a-b)(a^2 +ab+b^2)`