Evaluate
\left(4x+3\right)^{3}
Expand
64x^{3}+144x^{2}+108x+27
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\left(4x+2+1\right)^{3}
Use the distributive property to multiply 2 by 2x+1.
\left(4x+3\right)^{3}
Add 2 and 1 to get 3.
64x^{3}+144x^{2}+108x+27
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(4x+3\right)^{3}.
\left(4x+2+1\right)^{3}
Use the distributive property to multiply 2 by 2x+1.
\left(4x+3\right)^{3}
Add 2 and 1 to get 3.
64x^{3}+144x^{2}+108x+27
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(4x+3\right)^{3}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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