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-107g^{2}+48g-6
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-107g^{2}+48g-6
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-2\left(16g^{2}-24g+9\right)-3\left(5g+2\right)\left(5g-2\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(4g-3\right)^{2}.
-32g^{2}+48g-18-3\left(5g+2\right)\left(5g-2\right)
Use the distributive property to multiply -2 by 16g^{2}-24g+9.
-32g^{2}+48g-18+\left(-15g-6\right)\left(5g-2\right)
Use the distributive property to multiply -3 by 5g+2.
-32g^{2}+48g-18-75g^{2}+12
Use the distributive property to multiply -15g-6 by 5g-2 and combine like terms.
-107g^{2}+48g-18+12
Combine -32g^{2} and -75g^{2} to get -107g^{2}.
-107g^{2}+48g-6
Add -18 and 12 to get -6.
-2\left(16g^{2}-24g+9\right)-3\left(5g+2\right)\left(5g-2\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(4g-3\right)^{2}.
-32g^{2}+48g-18-3\left(5g+2\right)\left(5g-2\right)
Use the distributive property to multiply -2 by 16g^{2}-24g+9.
-32g^{2}+48g-18+\left(-15g-6\right)\left(5g-2\right)
Use the distributive property to multiply -3 by 5g+2.
-32g^{2}+48g-18-75g^{2}+12
Use the distributive property to multiply -15g-6 by 5g-2 and combine like terms.
-107g^{2}+48g-18+12
Combine -32g^{2} and -75g^{2} to get -107g^{2}.
-107g^{2}+48g-6
Add -18 and 12 to get -6.
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