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32x^{2}+56x+20
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32x^{2}+56x+20
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8\left(4x^{2}+12x+9\right)-20\left(2x+3\right)+8
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+3\right)^{2}.
32x^{2}+96x+72-20\left(2x+3\right)+8
Use the distributive property to multiply 8 by 4x^{2}+12x+9.
32x^{2}+96x+72-40x-60+8
Use the distributive property to multiply -20 by 2x+3.
32x^{2}+56x+72-60+8
Combine 96x and -40x to get 56x.
32x^{2}+56x+12+8
Subtract 60 from 72 to get 12.
32x^{2}+56x+20
Add 12 and 8 to get 20.
8\left(4x^{2}+12x+9\right)-20\left(2x+3\right)+8
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+3\right)^{2}.
32x^{2}+96x+72-20\left(2x+3\right)+8
Use the distributive property to multiply 8 by 4x^{2}+12x+9.
32x^{2}+96x+72-40x-60+8
Use the distributive property to multiply -20 by 2x+3.
32x^{2}+56x+72-60+8
Combine 96x and -40x to get 56x.
32x^{2}+56x+12+8
Subtract 60 from 72 to get 12.
32x^{2}+56x+20
Add 12 and 8 to get 20.
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