Evaluate
\left(x-17\right)\left(5x+9\right)
Expand
5x^{2}-76x-153
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25x^{2}-81-\left(20x^{2}+76x+72\right)
Use the distributive property to multiply 4x+8 by 5x+9 and combine like terms.
25x^{2}-81-20x^{2}-76x-72
To find the opposite of 20x^{2}+76x+72, find the opposite of each term.
5x^{2}-81-76x-72
Combine 25x^{2} and -20x^{2} to get 5x^{2}.
5x^{2}-153-76x
Subtract 72 from -81 to get -153.
25x^{2}-81-\left(20x^{2}+76x+72\right)
Use the distributive property to multiply 4x+8 by 5x+9 and combine like terms.
25x^{2}-81-20x^{2}-76x-72
To find the opposite of 20x^{2}+76x+72, find the opposite of each term.
5x^{2}-81-76x-72
Combine 25x^{2} and -20x^{2} to get 5x^{2}.
5x^{2}-153-76x
Subtract 72 from -81 to get -153.
Examples
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y = 3x + 4
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Matrix
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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
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