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36x^{2}-126x+116
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36x^{2}-126x+116
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4\left(36-36x+9x^{2}\right)-6\left(6-3x\right)+8
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(6-3x\right)^{2}.
144-144x+36x^{2}-6\left(6-3x\right)+8
Use the distributive property to multiply 4 by 36-36x+9x^{2}.
144-144x+36x^{2}-36+18x+8
Use the distributive property to multiply -6 by 6-3x.
108-144x+36x^{2}+18x+8
Subtract 36 from 144 to get 108.
108-126x+36x^{2}+8
Combine -144x and 18x to get -126x.
116-126x+36x^{2}
Add 108 and 8 to get 116.
4\left(36-36x+9x^{2}\right)-6\left(6-3x\right)+8
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(6-3x\right)^{2}.
144-144x+36x^{2}-6\left(6-3x\right)+8
Use the distributive property to multiply 4 by 36-36x+9x^{2}.
144-144x+36x^{2}-36+18x+8
Use the distributive property to multiply -6 by 6-3x.
108-144x+36x^{2}+18x+8
Subtract 36 from 144 to get 108.
108-126x+36x^{2}+8
Combine -144x and 18x to get -126x.
116-126x+36x^{2}
Add 108 and 8 to get 116.
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