Question

if a-b = 9 ab = 10 find a³-b³​

Answer 1

ANSWER:

${a}^{3} - {b}^{3} = 999$

EXPLANATION:

$using \: formula$

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

$( {9})^{3} = {a}^{3} - {b}^{3} - 3(10)(9)$

$729 = {a}^{3} - {b}^{3} - 270$

$729 + 270 = {a}^{3} - {b}^{3}$

$999 = {a}^{3} - {b}^{3}$

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