Evaluate
6\left(x+3\right)\left(x^{2}-25\right)
Expand
6x^{3}+18x^{2}-150x-450
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\left(6x+30\right)\left(x+3\right)\left(x-5\right)
Use the distributive property to multiply 6 by x+5.
\left(6x^{2}+18x+30x+90\right)\left(x-5\right)
Apply the distributive property by multiplying each term of 6x+30 by each term of x+3.
\left(6x^{2}+48x+90\right)\left(x-5\right)
Combine 18x and 30x to get 48x.
6x^{3}-30x^{2}+48x^{2}-240x+90x-450
Apply the distributive property by multiplying each term of 6x^{2}+48x+90 by each term of x-5.
6x^{3}+18x^{2}-240x+90x-450
Combine -30x^{2} and 48x^{2} to get 18x^{2}.
6x^{3}+18x^{2}-150x-450
Combine -240x and 90x to get -150x.
\left(6x+30\right)\left(x+3\right)\left(x-5\right)
Use the distributive property to multiply 6 by x+5.
\left(6x^{2}+18x+30x+90\right)\left(x-5\right)
Apply the distributive property by multiplying each term of 6x+30 by each term of x+3.
\left(6x^{2}+48x+90\right)\left(x-5\right)
Combine 18x and 30x to get 48x.
6x^{3}-30x^{2}+48x^{2}-240x+90x-450
Apply the distributive property by multiplying each term of 6x^{2}+48x+90 by each term of x-5.
6x^{3}+18x^{2}-240x+90x-450
Combine -30x^{2} and 48x^{2} to get 18x^{2}.
6x^{3}+18x^{2}-150x-450
Combine -240x and 90x to get -150x.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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