Evaluate
5x\left(5-4x\right)+171
Expand
171+25x-20x^{2}
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25x-20x^{2}-\left(5+14\right)\left(5-14\right)
Use the distributive property to multiply 5x by 5-4x.
25x-20x^{2}-19\left(5-14\right)
Add 5 and 14 to get 19.
25x-20x^{2}-19\left(-9\right)
Subtract 14 from 5 to get -9.
25x-20x^{2}-\left(-171\right)
Multiply 19 and -9 to get -171.
25x-20x^{2}+171
The opposite of -171 is 171.
25x-20x^{2}-\left(5+14\right)\left(5-14\right)
Use the distributive property to multiply 5x by 5-4x.
25x-20x^{2}-19\left(5-14\right)
Add 5 and 14 to get 19.
25x-20x^{2}-19\left(-9\right)
Subtract 14 from 5 to get -9.
25x-20x^{2}-\left(-171\right)
Multiply 19 and -9 to get -171.
25x-20x^{2}+171
The opposite of -171 is 171.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}