Evaluate
\left(2x+3\right)\left(16x+1\right)
Expand
32x^{2}+50x+3
Graph
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4x^{2}+12x+9+2\left(7x-1\right)\left(2x+3\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+3\right)^{2}.
4x^{2}+12x+9+\left(14x-2\right)\left(2x+3\right)
Use the distributive property to multiply 2 by 7x-1.
4x^{2}+12x+9+28x^{2}+38x-6
Use the distributive property to multiply 14x-2 by 2x+3 and combine like terms.
32x^{2}+12x+9+38x-6
Combine 4x^{2} and 28x^{2} to get 32x^{2}.
32x^{2}+50x+9-6
Combine 12x and 38x to get 50x.
32x^{2}+50x+3
Subtract 6 from 9 to get 3.
4x^{2}+12x+9+2\left(7x-1\right)\left(2x+3\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+3\right)^{2}.
4x^{2}+12x+9+\left(14x-2\right)\left(2x+3\right)
Use the distributive property to multiply 2 by 7x-1.
4x^{2}+12x+9+28x^{2}+38x-6
Use the distributive property to multiply 14x-2 by 2x+3 and combine like terms.
32x^{2}+12x+9+38x-6
Combine 4x^{2} and 28x^{2} to get 32x^{2}.
32x^{2}+50x+9-6
Combine 12x and 38x to get 50x.
32x^{2}+50x+3
Subtract 6 from 9 to get 3.
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
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}