Evaluate
\left(x+5\right)\left(4x+31\right)
Expand
4x^{2}+51x+155
Graph
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4\left(x^{2}+12x+36\right)+3\left(x+6\right)-7
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
4x^{2}+48x+144+3\left(x+6\right)-7
Use the distributive property to multiply 4 by x^{2}+12x+36.
4x^{2}+48x+144+3x+18-7
Use the distributive property to multiply 3 by x+6.
4x^{2}+51x+144+18-7
Combine 48x and 3x to get 51x.
4x^{2}+51x+162-7
Add 144 and 18 to get 162.
4x^{2}+51x+155
Subtract 7 from 162 to get 155.
4\left(x^{2}+12x+36\right)+3\left(x+6\right)-7
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
4x^{2}+48x+144+3\left(x+6\right)-7
Use the distributive property to multiply 4 by x^{2}+12x+36.
4x^{2}+48x+144+3x+18-7
Use the distributive property to multiply 3 by x+6.
4x^{2}+51x+144+18-7
Combine 48x and 3x to get 51x.
4x^{2}+51x+162-7
Add 144 and 18 to get 162.
4x^{2}+51x+155
Subtract 7 from 162 to get 155.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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