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-\left(8x^{3}+48x^{2}+96x+64\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2x+4\right)^{3}.
-8x^{3}-48x^{2}-96x-64
To find the opposite of 8x^{3}+48x^{2}+96x+64, find the opposite of each term.
-\left(8x^{3}+48x^{2}+96x+64\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2x+4\right)^{3}.
-8x^{3}-48x^{2}-96x-64
To find the opposite of 8x^{3}+48x^{2}+96x+64, find the opposite of each term.