Question

what must be added to
$what \: must \: be \: added \: to \: 10ab \: + 8ab {}^{2} - 8a {}^{2} b {}^{3} - b {}^{4} to \: get \: 5a {}^{2} b - 6ab {}^{2} - 7a {}^{3} b {}^{3}$
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Answer 1

Answer:

$\: 5a {}^{2} b - 6ab {}^{2} - 7a {}^{3} b {}^{3} - ( \: 10ab \: + 8ab {}^{2} - 8a {}^{2} b {}^{3} - b {}^{4}) \\ \: 5a {}^{2} b - 6ab {}^{2} - 7a {}^{3} b {}^{3} - \: 10ab \: - 8ab {}^{2} + 8a {}^{2} b {}^{3} + b {}^{4} \\ 5 {a}^{2} b - 14a {b}^{2} - 7 {a}^{3} {b}^{3} - 10ab + 8 {a}^{2} {b}^{3} + {b}^{4}$

Answer 2

Step-by-step explanation:

Answer:

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$\: { 5a}^{2} b - {6ab }^{2} - {7a }^{3} {b }^{3} \\ - ( \: 10ab \: + {8ab}^{2} - {8a}^{2} {b }^{3} - {b }^{4}) \\ \: =→{5a }^{2} b - {6ab }^{2} - {7a }^{3} {b }^{3} \\ - \: 10ab \: - {8ab }^{2} + {8a }^{2} {b }^{3} + {b }^{4} \\ 5 {a}^{2} b - 14a {b}^{2} - 7 {a}^{3} {b}^{3} - 10ab + 8 {a}^{2} {b}^{3} + {b}^{4}$