Evaluate
-\left(x-5\right)^{3}+3
Expand
128-75x+15x^{2}-x^{3}
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-\left(x^{3}-15x^{2}+75x-125\right)+3
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-5\right)^{3}.
-x^{3}+15x^{2}-75x+125+3
To find the opposite of x^{3}-15x^{2}+75x-125, find the opposite of each term.
-x^{3}+15x^{2}-75x+128
Add 125 and 3 to get 128.
-\left(x^{3}-15x^{2}+75x-125\right)+3
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-5\right)^{3}.
-x^{3}+15x^{2}-75x+125+3
To find the opposite of x^{3}-15x^{2}+75x-125, find the opposite of each term.
-x^{3}+15x^{2}-75x+128
Add 125 and 3 to get 128.
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Limits
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