Question

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

Answer 1

Answer:

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Step-by-step explanation:

The difference of two cubes formula is given as:

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

Answer 2

Step-by-step explanation:

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

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

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

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

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

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