Evaluate
\left(x+1\right)\left(3x+13\right)
Expand
3x^{2}+16x+13
Graph
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3\left(x^{2}+4x+4\right)+4\left(x+2\right)-7
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
3x^{2}+12x+12+4\left(x+2\right)-7
Use the distributive property to multiply 3 by x^{2}+4x+4.
3x^{2}+12x+12+4x+8-7
Use the distributive property to multiply 4 by x+2.
3x^{2}+16x+12+8-7
Combine 12x and 4x to get 16x.
3x^{2}+16x+20-7
Add 12 and 8 to get 20.
3x^{2}+16x+13
Subtract 7 from 20 to get 13.
3\left(x^{2}+4x+4\right)+4\left(x+2\right)-7
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
3x^{2}+12x+12+4\left(x+2\right)-7
Use the distributive property to multiply 3 by x^{2}+4x+4.
3x^{2}+12x+12+4x+8-7
Use the distributive property to multiply 4 by x+2.
3x^{2}+16x+12+8-7
Combine 12x and 4x to get 16x.
3x^{2}+16x+20-7
Add 12 and 8 to get 20.
3x^{2}+16x+13
Subtract 7 from 20 to get 13.
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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.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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