Evaluate
\left(x-3\right)\left(x-5\right)^{2}
Expand
x^{3}-13x^{2}+55x-75
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\left(x-3\right)\left(x^{2}-10x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
x^{3}-13x^{2}+55x-75
Use the distributive property to multiply x-3 by x^{2}-10x+25 and combine like terms.
\left(x-3\right)\left(x^{2}-10x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
x^{3}-13x^{2}+55x-75
Use the distributive property to multiply x-3 by x^{2}-10x+25 and combine like terms.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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