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3x^{3}-15x+21-\left(2x^{3}+6x^{2}+11x+4\right)
Use the distributive property to multiply 3 by x^{3}-5x+7.
3x^{3}-15x+21-2x^{3}-6x^{2}-11x-4
To find the opposite of 2x^{3}+6x^{2}+11x+4, find the opposite of each term.
x^{3}-15x+21-6x^{2}-11x-4
Combine 3x^{3} and -2x^{3} to get x^{3}.
x^{3}-26x+21-6x^{2}-4
Combine -15x and -11x to get -26x.
x^{3}-26x+17-6x^{2}
Subtract 4 from 21 to get 17.
3x^{3}-15x+21-\left(2x^{3}+6x^{2}+11x+4\right)
Use the distributive property to multiply 3 by x^{3}-5x+7.
3x^{3}-15x+21-2x^{3}-6x^{2}-11x-4
To find the opposite of 2x^{3}+6x^{2}+11x+4, find the opposite of each term.
x^{3}-15x+21-6x^{2}-11x-4
Combine 3x^{3} and -2x^{3} to get x^{3}.
x^{3}-26x+21-6x^{2}-4
Combine -15x and -11x to get -26x.
x^{3}-26x+17-6x^{2}
Subtract 4 from 21 to get 17.