Evaluate
\left(5x+3\right)\left(25x+19\right)\left(x+1\right)^{2}
Expand
125x^{4}+420x^{3}+522x^{2}+284x+57
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\left(x^{2}+2x+1\right)\left(5x+3\right)\left(25x+19\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
\left(5x^{3}+13x^{2}+11x+3\right)\left(25x+19\right)
Use the distributive property to multiply x^{2}+2x+1 by 5x+3 and combine like terms.
125x^{4}+420x^{3}+522x^{2}+284x+57
Use the distributive property to multiply 5x^{3}+13x^{2}+11x+3 by 25x+19 and combine like terms.
\left(x^{2}+2x+1\right)\left(5x+3\right)\left(25x+19\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
\left(5x^{3}+13x^{2}+11x+3\right)\left(25x+19\right)
Use the distributive property to multiply x^{2}+2x+1 by 5x+3 and combine like terms.
125x^{4}+420x^{3}+522x^{2}+284x+57
Use the distributive property to multiply 5x^{3}+13x^{2}+11x+3 by 25x+19 and combine like terms.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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