Evaluate
250+20x-32x^{2}
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250+20x-32x^{2}
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4x^{2}+20x+25-9\left(4x^{2}-25\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+5\right)^{2}.
4x^{2}+20x+25-36x^{2}+225
Use the distributive property to multiply -9 by 4x^{2}-25.
-32x^{2}+20x+25+225
Combine 4x^{2} and -36x^{2} to get -32x^{2}.
-32x^{2}+20x+250
Add 25 and 225 to get 250.
4x^{2}+20x+25-9\left(4x^{2}-25\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+5\right)^{2}.
4x^{2}+20x+25-36x^{2}+225
Use the distributive property to multiply -9 by 4x^{2}-25.
-32x^{2}+20x+25+225
Combine 4x^{2} and -36x^{2} to get -32x^{2}.
-32x^{2}+20x+250
Add 25 and 225 to get 250.
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