Evaluate
5\left(u+5\right)\left(u+2\right)^{2}
Expand
5u^{3}+45u^{2}+120u+100
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5\left(u+5\right)\left(u+2\right)^{2}
Multiply u+2 and u+2 to get \left(u+2\right)^{2}.
5\left(u+5\right)\left(u^{2}+4u+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(u+2\right)^{2}.
\left(5u+25\right)\left(u^{2}+4u+4\right)
Use the distributive property to multiply 5 by u+5.
5u^{3}+20u^{2}+20u+25u^{2}+100u+100
Apply the distributive property by multiplying each term of 5u+25 by each term of u^{2}+4u+4.
5u^{3}+45u^{2}+20u+100u+100
Combine 20u^{2} and 25u^{2} to get 45u^{2}.
5u^{3}+45u^{2}+120u+100
Combine 20u and 100u to get 120u.
5\left(u+5\right)\left(u+2\right)^{2}
Multiply u+2 and u+2 to get \left(u+2\right)^{2}.
5\left(u+5\right)\left(u^{2}+4u+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(u+2\right)^{2}.
\left(5u+25\right)\left(u^{2}+4u+4\right)
Use the distributive property to multiply 5 by u+5.
5u^{3}+20u^{2}+20u+25u^{2}+100u+100
Apply the distributive property by multiplying each term of 5u+25 by each term of u^{2}+4u+4.
5u^{3}+45u^{2}+20u+100u+100
Combine 20u^{2} and 25u^{2} to get 45u^{2}.
5u^{3}+45u^{2}+120u+100
Combine 20u and 100u to get 120u.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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