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75-20x-5x^{2}
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75-20x-5x^{2}
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3\left(x^{2}-10x+25\right)+10x-8x^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
3x^{2}-30x+75+10x-8x^{2}
Use the distributive property to multiply 3 by x^{2}-10x+25.
3x^{2}-20x+75-8x^{2}
Combine -30x and 10x to get -20x.
-5x^{2}-20x+75
Combine 3x^{2} and -8x^{2} to get -5x^{2}.
3\left(x^{2}-10x+25\right)+10x-8x^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
3x^{2}-30x+75+10x-8x^{2}
Use the distributive property to multiply 3 by x^{2}-10x+25.
3x^{2}-20x+75-8x^{2}
Combine -30x and 10x to get -20x.
-5x^{2}-20x+75
Combine 3x^{2} and -8x^{2} to get -5x^{2}.
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