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8x+1
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4x^{2}+4x+1-4x\left(x-1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+1\right)^{2}.
4x^{2}+4x+1-4x^{2}+4x
Use the distributive property to multiply -4x by x-1.
4x+1+4x
Combine 4x^{2} and -4x^{2} to get 0.
8x+1
Combine 4x and 4x to get 8x.
4x^{2}+4x+1-4x\left(x-1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+1\right)^{2}.
4x^{2}+4x+1-4x^{2}+4x
Use the distributive property to multiply -4x by x-1.
4x+1+4x
Combine 4x^{2} and -4x^{2} to get 0.
8x+1
Combine 4x and 4x to get 8x.
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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}