Evaluate
4\left(3x+1\right)^{2}
Expand
36x^{2}+24x+4
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4x^{2}-8x+4-4x\left(-8x-8\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-2\right)^{2}.
4x^{2}-8x+4+32x^{2}+32x
Use the distributive property to multiply -4x by -8x-8.
36x^{2}-8x+4+32x
Combine 4x^{2} and 32x^{2} to get 36x^{2}.
36x^{2}+24x+4
Combine -8x and 32x to get 24x.
4x^{2}-8x+4-4x\left(-8x-8\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-2\right)^{2}.
4x^{2}-8x+4+32x^{2}+32x
Use the distributive property to multiply -4x by -8x-8.
36x^{2}-8x+4+32x
Combine 4x^{2} and 32x^{2} to get 36x^{2}.
36x^{2}+24x+4
Combine -8x and 32x to get 24x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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}