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x^{6}-9x^{4}-21x^{3}-24x^{2}-15x-4+9x^{4}+21x^{3}+24x^{2}+4x+5
Use the distributive property to multiply x-4 by x^{5}+4x^{4}+7x^{3}+7x^{2}+4x+1 and combine like terms.
x^{6}-21x^{3}-24x^{2}-15x-4+21x^{3}+24x^{2}+4x+5
Combine -9x^{4} and 9x^{4} to get 0.
x^{6}-24x^{2}-15x-4+24x^{2}+4x+5
Combine -21x^{3} and 21x^{3} to get 0.
x^{6}-15x-4+4x+5
Combine -24x^{2} and 24x^{2} to get 0.
x^{6}-11x-4+5
Combine -15x and 4x to get -11x.
x^{6}-11x+1
Add -4 and 5 to get 1.
x^{6}-9x^{4}-21x^{3}-24x^{2}-15x-4+9x^{4}+21x^{3}+24x^{2}+4x+5
Use the distributive property to multiply x-4 by x^{5}+4x^{4}+7x^{3}+7x^{2}+4x+1 and combine like terms.
x^{6}-21x^{3}-24x^{2}-15x-4+21x^{3}+24x^{2}+4x+5
Combine -9x^{4} and 9x^{4} to get 0.
x^{6}-24x^{2}-15x-4+24x^{2}+4x+5
Combine -21x^{3} and 21x^{3} to get 0.
x^{6}-15x-4+4x+5
Combine -24x^{2} and 24x^{2} to get 0.
x^{6}-11x-4+5
Combine -15x and 4x to get -11x.
x^{6}-11x+1
Add -4 and 5 to get 1.