Evaluate
\frac{7\left(x+2\right)^{2}}{2}
Expand
\frac{7x^{2}}{2}+14x+14
Graph
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\frac{7\left(x+2\right)}{2}\left(x+2\right)
Express 7\times \frac{x+2}{2} as a single fraction.
\frac{7\left(x+2\right)}{2}x+2\times \frac{7\left(x+2\right)}{2}
Use the distributive property to multiply \frac{7\left(x+2\right)}{2} by x+2.
\frac{7x+14}{2}x+2\times \frac{7\left(x+2\right)}{2}
Use the distributive property to multiply 7 by x+2.
\frac{\left(7x+14\right)x}{2}+2\times \frac{7\left(x+2\right)}{2}
Express \frac{7x+14}{2}x as a single fraction.
\frac{\left(7x+14\right)x}{2}+2\times \frac{7x+14}{2}
Use the distributive property to multiply 7 by x+2.
\frac{\left(7x+14\right)x}{2}+7x+14
Cancel out 2 and 2.
\frac{\left(7x+14\right)x}{2}+\frac{2\left(7x+14\right)}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply 7x+14 times \frac{2}{2}.
\frac{\left(7x+14\right)x+2\left(7x+14\right)}{2}
Since \frac{\left(7x+14\right)x}{2} and \frac{2\left(7x+14\right)}{2} have the same denominator, add them by adding their numerators.
\frac{7x^{2}+14x+14x+28}{2}
Do the multiplications in \left(7x+14\right)x+2\left(7x+14\right).
\frac{7x^{2}+28x+28}{2}
Combine like terms in 7x^{2}+14x+14x+28.
\frac{7\left(x+2\right)}{2}\left(x+2\right)
Express 7\times \frac{x+2}{2} as a single fraction.
\frac{7\left(x+2\right)}{2}x+2\times \frac{7\left(x+2\right)}{2}
Use the distributive property to multiply \frac{7\left(x+2\right)}{2} by x+2.
\frac{7x+14}{2}x+2\times \frac{7\left(x+2\right)}{2}
Use the distributive property to multiply 7 by x+2.
\frac{\left(7x+14\right)x}{2}+2\times \frac{7\left(x+2\right)}{2}
Express \frac{7x+14}{2}x as a single fraction.
\frac{\left(7x+14\right)x}{2}+2\times \frac{7x+14}{2}
Use the distributive property to multiply 7 by x+2.
\frac{\left(7x+14\right)x}{2}+7x+14
Cancel out 2 and 2.
\frac{\left(7x+14\right)x}{2}+\frac{2\left(7x+14\right)}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply 7x+14 times \frac{2}{2}.
\frac{\left(7x+14\right)x+2\left(7x+14\right)}{2}
Since \frac{\left(7x+14\right)x}{2} and \frac{2\left(7x+14\right)}{2} have the same denominator, add them by adding their numerators.
\frac{7x^{2}+14x+14x+28}{2}
Do the multiplications in \left(7x+14\right)x+2\left(7x+14\right).
\frac{7x^{2}+28x+28}{2}
Combine like terms in 7x^{2}+14x+14x+28.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}