Evaluate
\frac{7x^{2}+22x-2}{15}
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\frac{7x^{2}+22x-2}{15}
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\frac{12x^{2}+12x+3-\left(5x^{2}-10x+5\right)}{15}
Since \frac{12x^{2}+12x+3}{15} and \frac{5x^{2}-10x+5}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{12x^{2}+12x+3-5x^{2}+10x-5}{15}
Do the multiplications in 12x^{2}+12x+3-\left(5x^{2}-10x+5\right).
\frac{7x^{2}+22x-2}{15}
Combine like terms in 12x^{2}+12x+3-5x^{2}+10x-5.
\frac{12x^{2}+12x+3-\left(5x^{2}-10x+5\right)}{15}
Since \frac{12x^{2}+12x+3}{15} and \frac{5x^{2}-10x+5}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{12x^{2}+12x+3-5x^{2}+10x-5}{15}
Do the multiplications in 12x^{2}+12x+3-\left(5x^{2}-10x+5\right).
\frac{7x^{2}+22x-2}{15}
Combine like terms in 12x^{2}+12x+3-5x^{2}+10x-5.
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Limits
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