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3xx_{2}-16
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3xx_{2}-16
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3xx_{2}+9x^{2}+24x+\left(-3x-4\right)\left(3x+4\right)
Use the distributive property to multiply 3x by x_{2}+3x+8.
3xx_{2}+9x^{2}+24x-9x^{2}-12x-12x-16
Apply the distributive property by multiplying each term of -3x-4 by each term of 3x+4.
3xx_{2}+9x^{2}+24x-9x^{2}-24x-16
Combine -12x and -12x to get -24x.
3xx_{2}+24x-24x-16
Combine 9x^{2} and -9x^{2} to get 0.
3xx_{2}-16
Combine 24x and -24x to get 0.
3xx_{2}+9x^{2}+24x+\left(-3x-4\right)\left(3x+4\right)
Use the distributive property to multiply 3x by x_{2}+3x+8.
3xx_{2}+9x^{2}+24x-9x^{2}-12x-12x-16
Apply the distributive property by multiplying each term of -3x-4 by each term of 3x+4.
3xx_{2}+9x^{2}+24x-9x^{2}-24x-16
Combine -12x and -12x to get -24x.
3xx_{2}+24x-24x-16
Combine 9x^{2} and -9x^{2} to get 0.
3xx_{2}-16
Combine 24x and -24x to get 0.
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