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12x^{2}-62x+70
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12x^{2}-62x+70
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3\left(4x^{2}-20x+25\right)-2x-5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-5\right)^{2}.
12x^{2}-60x+75-2x-5
Use the distributive property to multiply 3 by 4x^{2}-20x+25.
12x^{2}-62x+75-5
Combine -60x and -2x to get -62x.
12x^{2}-62x+70
Subtract 5 from 75 to get 70.
3\left(4x^{2}-20x+25\right)-2x-5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-5\right)^{2}.
12x^{2}-60x+75-2x-5
Use the distributive property to multiply 3 by 4x^{2}-20x+25.
12x^{2}-62x+75-5
Combine -60x and -2x to get -62x.
12x^{2}-62x+70
Subtract 5 from 75 to get 70.
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