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3x^{2}+8x+14
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3x^{2}+8x+14
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x^{2}+8x+16+2\left(x+1\right)\left(x-1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
x^{2}+8x+16+\left(2x+2\right)\left(x-1\right)
Use the distributive property to multiply 2 by x+1.
x^{2}+8x+16+2x^{2}-2
Use the distributive property to multiply 2x+2 by x-1 and combine like terms.
3x^{2}+8x+16-2
Combine x^{2} and 2x^{2} to get 3x^{2}.
3x^{2}+8x+14
Subtract 2 from 16 to get 14.
x^{2}+8x+16+2\left(x+1\right)\left(x-1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
x^{2}+8x+16+\left(2x+2\right)\left(x-1\right)
Use the distributive property to multiply 2 by x+1.
x^{2}+8x+16+2x^{2}-2
Use the distributive property to multiply 2x+2 by x-1 and combine like terms.
3x^{2}+8x+16-2
Combine x^{2} and 2x^{2} to get 3x^{2}.
3x^{2}+8x+14
Subtract 2 from 16 to get 14.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}