Evaluate
\frac{x\left(2x-1\right)\left(8x+3\right)-27}{4}
Expand
4x^{3}-\frac{x^{2}}{2}-\frac{3x}{4}-\frac{27}{4}
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\left(2x^{2}+\frac{3}{4}x\right)\left(2x-1\right)-\frac{27}{4}
Combine \frac{1}{2}x and \frac{1}{4}x to get \frac{3}{4}x.
4x^{3}-\frac{1}{2}x^{2}-\frac{3}{4}x-\frac{27}{4}
Use the distributive property to multiply 2x^{2}+\frac{3}{4}x by 2x-1 and combine like terms.
\left(2x^{2}+\frac{3}{4}x\right)\left(2x-1\right)-\frac{27}{4}
Combine \frac{1}{2}x and \frac{1}{4}x to get \frac{3}{4}x.
4x^{3}-\frac{1}{2}x^{2}-\frac{3}{4}x-\frac{27}{4}
Use the distributive property to multiply 2x^{2}+\frac{3}{4}x by 2x-1 and combine like terms.
Examples
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Limits
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