Question

Simplify: a(a +1)+b(b^2+1)-(a+b)​

Answer 1

$\tt \: \begin{gathered} \tt \: a( {a}^{2} + 1) + b( {b}^{2} + 1) - (a + b) \\ \tt = {a}^{3} + a + {b}^{3} + b - a - b \\ \bf \: = {a}^{3} + {b}^{3} \end{gathered}$

Answer 2

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Simplify: a(a +1)+b(b^2+1)-(a+b)

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a (a² + 1) + b (b²+ 1 ) - (a+b)

$\rightarrow$ a³ + a +b³+b - a - b

$\rightarrow$ a³ + b³

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