Evaluate
9-10x-5x^{2}
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9-10x-5x^{2}
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20x^{2}-10x-\left(3+5x\right)\left(5x-3\right)
Use the distributive property to multiply 5x by 4x-2.
20x^{2}-10x-\left(15x-9+25x^{2}-15x\right)
Apply the distributive property by multiplying each term of 3+5x by each term of 5x-3.
20x^{2}-10x-\left(-9+25x^{2}\right)
Combine 15x and -15x to get 0.
20x^{2}-10x-\left(-9\right)-25x^{2}
To find the opposite of -9+25x^{2}, find the opposite of each term.
20x^{2}-10x+9-25x^{2}
The opposite of -9 is 9.
-5x^{2}-10x+9
Combine 20x^{2} and -25x^{2} to get -5x^{2}.
20x^{2}-10x-\left(3+5x\right)\left(5x-3\right)
Use the distributive property to multiply 5x by 4x-2.
20x^{2}-10x-\left(15x-9+25x^{2}-15x\right)
Apply the distributive property by multiplying each term of 3+5x by each term of 5x-3.
20x^{2}-10x-\left(-9+25x^{2}\right)
Combine 15x and -15x to get 0.
20x^{2}-10x-\left(-9\right)-25x^{2}
To find the opposite of -9+25x^{2}, find the opposite of each term.
20x^{2}-10x+9-25x^{2}
The opposite of -9 is 9.
-5x^{2}-10x+9
Combine 20x^{2} and -25x^{2} to get -5x^{2}.
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