Evaluate
125x^{2}+250x-55
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125x^{2}+250x-55
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125\left(1+2x+x^{2}\right)-180
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1+x\right)^{2}.
125+250x+125x^{2}-180
Use the distributive property to multiply 125 by 1+2x+x^{2}.
-55+250x+125x^{2}
Subtract 180 from 125 to get -55.
125\left(1+2x+x^{2}\right)-180
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1+x\right)^{2}.
125+250x+125x^{2}-180
Use the distributive property to multiply 125 by 1+2x+x^{2}.
-55+250x+125x^{2}
Subtract 180 from 125 to get -55.
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