Evaluate
\frac{60x^{2}+29x+5h+12}{5x^{2}+2x+1}
Expand
\frac{60x^{2}+29x+5h+12}{5x^{2}+2x+1}
Graph
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\frac{5x+5h}{5x^{2}+2x+1}+\frac{12\left(5x^{2}+2x+1\right)}{5x^{2}+2x+1}
To add or subtract expressions, expand them to make their denominators the same. Multiply 12 times \frac{5x^{2}+2x+1}{5x^{2}+2x+1}.
\frac{5x+5h+12\left(5x^{2}+2x+1\right)}{5x^{2}+2x+1}
Since \frac{5x+5h}{5x^{2}+2x+1} and \frac{12\left(5x^{2}+2x+1\right)}{5x^{2}+2x+1} have the same denominator, add them by adding their numerators.
\frac{5x+5h+60x^{2}+24x+12}{5x^{2}+2x+1}
Do the multiplications in 5x+5h+12\left(5x^{2}+2x+1\right).
\frac{29x+5h+60x^{2}+12}{5x^{2}+2x+1}
Combine like terms in 5x+5h+60x^{2}+24x+12.
\frac{5x+5h}{5x^{2}+2x+1}+\frac{12\left(5x^{2}+2x+1\right)}{5x^{2}+2x+1}
To add or subtract expressions, expand them to make their denominators the same. Multiply 12 times \frac{5x^{2}+2x+1}{5x^{2}+2x+1}.
\frac{5x+5h+12\left(5x^{2}+2x+1\right)}{5x^{2}+2x+1}
Since \frac{5x+5h}{5x^{2}+2x+1} and \frac{12\left(5x^{2}+2x+1\right)}{5x^{2}+2x+1} have the same denominator, add them by adding their numerators.
\frac{5x+5h+60x^{2}+24x+12}{5x^{2}+2x+1}
Do the multiplications in 5x+5h+12\left(5x^{2}+2x+1\right).
\frac{29x+5h+60x^{2}+12}{5x^{2}+2x+1}
Combine like terms in 5x+5h+60x^{2}+24x+12.
Examples
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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