Evaluate
\left(x-2\right)\left(x+4\right)\left(x+3\right)^{2}+13
Expand
x^{4}+8x^{3}+13x^{2}-30x-59
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\left(x+4\right)\left(x-2\right)\left(x^{2}+6x+9\right)+13
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
\left(x^{2}+2x-8\right)\left(x^{2}+6x+9\right)+13
Use the distributive property to multiply x+4 by x-2 and combine like terms.
x^{4}+8x^{3}+13x^{2}-30x-72+13
Use the distributive property to multiply x^{2}+2x-8 by x^{2}+6x+9 and combine like terms.
x^{4}+8x^{3}+13x^{2}-30x-59
Add -72 and 13 to get -59.
\left(x+4\right)\left(x-2\right)\left(x^{2}+6x+9\right)+13
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
\left(x^{2}+2x-8\right)\left(x^{2}+6x+9\right)+13
Use the distributive property to multiply x+4 by x-2 and combine like terms.
x^{4}+8x^{3}+13x^{2}-30x-72+13
Use the distributive property to multiply x^{2}+2x-8 by x^{2}+6x+9 and combine like terms.
x^{4}+8x^{3}+13x^{2}-30x-59
Add -72 and 13 to get -59.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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