Evaluate
\frac{5\left(x^{2}-x+h\right)}{h}
Expand
\frac{5\left(x^{2}-x+h\right)}{h}
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\frac{5\left(x+h\right)+7-\left(-5x^{2}+10x+7\right)}{h}
Combine -5\left(x+h\right) and 10\left(x+h\right) to get 5\left(x+h\right).
\frac{5x+5h+7-\left(-5x^{2}+10x+7\right)}{h}
Use the distributive property to multiply 5 by x+h.
\frac{5x+5h+7+5x^{2}-10x-7}{h}
To find the opposite of -5x^{2}+10x+7, find the opposite of each term.
\frac{-5x+5h+7+5x^{2}-7}{h}
Combine 5x and -10x to get -5x.
\frac{-5x+5h+5x^{2}}{h}
Subtract 7 from 7 to get 0.
\frac{5\left(x+h\right)+7-\left(-5x^{2}+10x+7\right)}{h}
Combine -5\left(x+h\right) and 10\left(x+h\right) to get 5\left(x+h\right).
\frac{5x+5h+7-\left(-5x^{2}+10x+7\right)}{h}
Use the distributive property to multiply 5 by x+h.
\frac{5x+5h+7+5x^{2}-10x-7}{h}
To find the opposite of -5x^{2}+10x+7, find the opposite of each term.
\frac{-5x+5h+7+5x^{2}-7}{h}
Combine 5x and -10x to get -5x.
\frac{-5x+5h+5x^{2}}{h}
Subtract 7 from 7 to get 0.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}