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12x^{2}-64x+79
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12x^{2}-64x+79
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3\left(4x^{2}-20x+25\right)+2\left(-2x+5\right)-6
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-2x+5\right)^{2}.
12x^{2}-60x+75+2\left(-2x+5\right)-6
Use the distributive property to multiply 3 by 4x^{2}-20x+25.
12x^{2}-60x+75-4x+10-6
Use the distributive property to multiply 2 by -2x+5.
12x^{2}-64x+75+10-6
Combine -60x and -4x to get -64x.
12x^{2}-64x+85-6
Add 75 and 10 to get 85.
12x^{2}-64x+79
Subtract 6 from 85 to get 79.
3\left(4x^{2}-20x+25\right)+2\left(-2x+5\right)-6
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-2x+5\right)^{2}.
12x^{2}-60x+75+2\left(-2x+5\right)-6
Use the distributive property to multiply 3 by 4x^{2}-20x+25.
12x^{2}-60x+75-4x+10-6
Use the distributive property to multiply 2 by -2x+5.
12x^{2}-64x+75+10-6
Combine -60x and -4x to get -64x.
12x^{2}-64x+85-6
Add 75 and 10 to get 85.
12x^{2}-64x+79
Subtract 6 from 85 to get 79.
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Limits
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