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-16x^{2}-48x-20
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-16x^{2}-48x-20
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16-4\left(4x^{2}+12x+9\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+3\right)^{2}.
16-16x^{2}-48x-36
Use the distributive property to multiply -4 by 4x^{2}+12x+9.
-20-16x^{2}-48x
Subtract 36 from 16 to get -20.
16-4\left(4x^{2}+12x+9\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+3\right)^{2}.
16-16x^{2}-48x-36
Use the distributive property to multiply -4 by 4x^{2}+12x+9.
-20-16x^{2}-48x
Subtract 36 from 16 to get -20.
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