What is ((x^3-64))/((x-4)) ?

The solution to ((x^3-64))/((x-4)) is x^2+4x+16

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simplify ((x^3-64))/((x-4))

simplify

\frac{( x ^{3} - 64 )}{( x - 4 )}

x^{2} + 4 x + 16

Solution steps

\frac{x ^{3} - 64}{x - 4}

Factor

x^{3} - 64 : (x - 4) (x^{2} + 4 x + 16)

= \frac{( x - 4 ) ( x ^{2} + 4 x + 16 )}{x - 4}

Cancel the common factor:

x - 4

= x^{2} + 4 x + 16

(x^{2} + x - 2) + (- 2 x^{2} - 9 x - 7)

(- x^{2} - 6 x - 3) + (- 4 x - 7)

120000 \cdot 0.8 5^{10}

(4 x^{2} - 8) + (2 x^{2} - 8 x)

\frac{R V}{t - b} - \frac{a}{t ^{2}}