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8x^{4}-7x^{2}-6
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8x^{4}-7x^{2}-6
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6x^{4}-6x^{2}-\left(x^{2}+2\right)-2\left(2-x^{4}\right)
Use the distributive property to multiply 6x^{2} by x^{2}-1.
6x^{4}-6x^{2}-x^{2}-2-2\left(2-x^{4}\right)
To find the opposite of x^{2}+2, find the opposite of each term.
6x^{4}-7x^{2}-2-2\left(2-x^{4}\right)
Combine -6x^{2} and -x^{2} to get -7x^{2}.
6x^{4}-7x^{2}-2-4+2x^{4}
Use the distributive property to multiply -2 by 2-x^{4}.
6x^{4}-7x^{2}-6+2x^{4}
Subtract 4 from -2 to get -6.
8x^{4}-7x^{2}-6
Combine 6x^{4} and 2x^{4} to get 8x^{4}.
6x^{4}-6x^{2}-\left(x^{2}+2\right)-2\left(2-x^{4}\right)
Use the distributive property to multiply 6x^{2} by x^{2}-1.
6x^{4}-6x^{2}-x^{2}-2-2\left(2-x^{4}\right)
To find the opposite of x^{2}+2, find the opposite of each term.
6x^{4}-7x^{2}-2-2\left(2-x^{4}\right)
Combine -6x^{2} and -x^{2} to get -7x^{2}.
6x^{4}-7x^{2}-2-4+2x^{4}
Use the distributive property to multiply -2 by 2-x^{4}.
6x^{4}-7x^{2}-6+2x^{4}
Subtract 4 from -2 to get -6.
8x^{4}-7x^{2}-6
Combine 6x^{4} and 2x^{4} to get 8x^{4}.
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