What is ((a+b)^3-8)/((a+b)-2) ?

The solution to ((a+b)^3-8)/((a+b)-2) is (a+b)^2+2(a+b)+4

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simplify ((a+b)^3-8)/((a+b)-2)

simplify

\frac{( a + b ) ^{3} - 8}{( a + b ) - 2}

(a + b)^{2} + 2 (a + b) + 4

Solution steps

\frac{( a + b ) ^{3} - 8}{( a + b ) - 2}

Remove parentheses:

(a) = a

= \frac{( a + b ) ^{3} - 8}{a + b - 2}

Factor

(a + b)^{3} - 8 : (a + b - 2) ((a + b)^{2} + 2 (a + b) + 4)

= \frac{( a + b - 2 ) ( ( a + b ) ^{2} + 2 ( a + b ) + 4 )}{a + b - 2}

Cancel the common factor:

a + b - 2

= (a + b)^{2} + 2 (a + b) + 4

- 11 + 36 x - 28 + 37 x

(- 4) - (+ 2)

(\frac{8 i}{1 + i})^{\frac{1}{6}}

\frac{6}{96}

(X + 7)^{2}

What is ((a+b)^3-8)/((a+b)-2) ?
The solution to ((a+b)^3-8)/((a+b)-2) is (a+b)^2+2(a+b)+4