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x^{2}+x+6
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x^{2}+x+6
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1\left(x^{2}+4x+4\right)+1\left(2-3x\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{2}+4x+4+1\left(2-3x\right)
Use the distributive property to multiply 1 by x^{2}+4x+4.
x^{2}+4x+4+2-3x
Use the distributive property to multiply 1 by 2-3x.
x^{2}+4x+6-3x
Add 4 and 2 to get 6.
x^{2}+x+6
Combine 4x and -3x to get x.
1\left(x^{2}+4x+4\right)+1\left(2-3x\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{2}+4x+4+1\left(2-3x\right)
Use the distributive property to multiply 1 by x^{2}+4x+4.
x^{2}+4x+4+2-3x
Use the distributive property to multiply 1 by 2-3x.
x^{2}+4x+6-3x
Add 4 and 2 to get 6.
x^{2}+x+6
Combine 4x and -3x to get x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}