Factor
8\left(4x+5\right)\left(16x^{2}-20x+25\right)
Evaluate
512x^{3}+1000
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8\left(64x^{3}+125\right)
Factor out 8.
\left(4x+5\right)\left(16x^{2}-20x+25\right)
Consider 64x^{3}+125. Rewrite 64x^{3}+125 as \left(4x\right)^{3}+5^{3}. The sum of cubes can be factored using the rule: a^{3}+b^{3}=\left(a+b\right)\left(a^{2}-ab+b^{2}\right).
8\left(4x+5\right)\left(16x^{2}-20x+25\right)
Rewrite the complete factored expression. Polynomial 16x^{2}-20x+25 is not factored since it does not have any rational roots.
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y = 3x + 4
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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