Evaluate
10xy-8x-20y^{2}-2y+17
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10xy-8x-20y^{2}-2y+17
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7-3x+10yx-20y^{2}-\left(5x+2y-10\right)
Use the distributive property to multiply 10y by x-2y.
7-3x+10yx-20y^{2}-5x-2y-\left(-10\right)
To find the opposite of 5x+2y-10, find the opposite of each term.
7-3x+10yx-20y^{2}-5x-2y+10
The opposite of -10 is 10.
7-8x+10yx-20y^{2}-2y+10
Combine -3x and -5x to get -8x.
17-8x+10yx-20y^{2}-2y
Add 7 and 10 to get 17.
7-3x+10yx-20y^{2}-\left(5x+2y-10\right)
Use the distributive property to multiply 10y by x-2y.
7-3x+10yx-20y^{2}-5x-2y-\left(-10\right)
To find the opposite of 5x+2y-10, find the opposite of each term.
7-3x+10yx-20y^{2}-5x-2y+10
The opposite of -10 is 10.
7-8x+10yx-20y^{2}-2y+10
Combine -3x and -5x to get -8x.
17-8x+10yx-20y^{2}-2y
Add 7 and 10 to get 17.
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