What is ((-2+h)^3-(-2^3))/h ?

The solution to ((-2+h)^3-(-2^3))/h is h^2-6h+12

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simplify ((-2+h)^3-(-2^3))/h

simplify

\frac{( - 2 + h ) ^{3} - ( - 2 ^{3} )}{h}

h^{2} - 6 h + 12

Solution steps

\frac{( - 2 + h ) ^{3} - ( - 2 ^{3} )}{h}

Apply rule:

a - (- b) = a + b

(- 2 + h)^{3} - (- 2^{3}) = (- 2 + h)^{3} + 2^{3}

= \frac{( - 2 + h ) ^{3} + 2 ^{3}}{h}

Simplify

(- 2 + h)^{3} + 2^{3} : h^{3} - 6 h^{2} + 12 h

= \frac{h ^{3} - 6 h ^{2} + 12 h}{h}

Factor

h^{3} - 6 h^{2} + 12 h : h (h^{2} - 6 h + 12)

= \frac{h ( h ^{2} - 6 h + 12 )}{h}

Cancel the common factor:

h

= h^{2} - 6 h + 12

75 x^{4} + 48 x^{4}

5 \frac{2}{5} - 3 \frac{1}{2}

\frac{3 ^{- 3} + 3 ^{- 2}}{3 ^{- 5}}

- \frac{5}{7} + (- \frac{1}{42})

lo g_{2} (128) - lo g_{2} (16)