Evaluate
\frac{5x^{2}+6x+3}{x-6}
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\frac{5x^{2}+6x+3}{x-6}
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\frac{8x^{2}+3-\left(3x^{2}-6x\right)}{x-6}
Since \frac{8x^{2}+3}{x-6} and \frac{3x^{2}-6x}{x-6} have the same denominator, subtract them by subtracting their numerators.
\frac{8x^{2}+3-3x^{2}+6x}{x-6}
Do the multiplications in 8x^{2}+3-\left(3x^{2}-6x\right).
\frac{5x^{2}+3+6x}{x-6}
Combine like terms in 8x^{2}+3-3x^{2}+6x.
\frac{8x^{2}+3-\left(3x^{2}-6x\right)}{x-6}
Since \frac{8x^{2}+3}{x-6} and \frac{3x^{2}-6x}{x-6} have the same denominator, subtract them by subtracting their numerators.
\frac{8x^{2}+3-3x^{2}+6x}{x-6}
Do the multiplications in 8x^{2}+3-\left(3x^{2}-6x\right).
\frac{5x^{2}+3+6x}{x-6}
Combine like terms in 8x^{2}+3-3x^{2}+6x.
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