Evaluate
11x^{2}+15x-7
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11x^{2}+15x-7
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41-\left(33-11x^{2}-15x+5x^{3}\right)+5x^{3}-15
Use the distributive property to multiply 11-5x by 3-x^{2}.
41-33+11x^{2}+15x-5x^{3}+5x^{3}-15
To find the opposite of 33-11x^{2}-15x+5x^{3}, find the opposite of each term.
8+11x^{2}+15x-5x^{3}+5x^{3}-15
Subtract 33 from 41 to get 8.
8+11x^{2}+15x-15
Combine -5x^{3} and 5x^{3} to get 0.
-7+11x^{2}+15x
Subtract 15 from 8 to get -7.
41-\left(33-11x^{2}-15x+5x^{3}\right)+5x^{3}-15
Use the distributive property to multiply 11-5x by 3-x^{2}.
41-33+11x^{2}+15x-5x^{3}+5x^{3}-15
To find the opposite of 33-11x^{2}-15x+5x^{3}, find the opposite of each term.
8+11x^{2}+15x-5x^{3}+5x^{3}-15
Subtract 33 from 41 to get 8.
8+11x^{2}+15x-15
Combine -5x^{3} and 5x^{3} to get 0.
-7+11x^{2}+15x
Subtract 15 from 8 to get -7.
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