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x^{4}-11x^{2}+9
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x^{4}-11x^{2}+9
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x^{4}-2x^{2}-9\left(x^{2}-1\right)
Use the distributive property to multiply x^{2} by x^{2}-2.
x^{4}-2x^{2}-9x^{2}+9
Use the distributive property to multiply -9 by x^{2}-1.
x^{4}-11x^{2}+9
Combine -2x^{2} and -9x^{2} to get -11x^{2}.
x^{4}-2x^{2}-9\left(x^{2}-1\right)
Use the distributive property to multiply x^{2} by x^{2}-2.
x^{4}-2x^{2}-9x^{2}+9
Use the distributive property to multiply -9 by x^{2}-1.
x^{4}-11x^{2}+9
Combine -2x^{2} and -9x^{2} to get -11x^{2}.
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