Evaluate
12x+16
Expand
12x+16
Graph
Share
Copied to clipboard
8+12\sqrt{x}+6\left(\sqrt{x}\right)^{2}+\left(\sqrt{x}\right)^{3}+\left(2-\sqrt{x}\right)^{3}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2+\sqrt{x}\right)^{3}.
8+12\sqrt{x}+6x+\left(\sqrt{x}\right)^{3}+\left(2-\sqrt{x}\right)^{3}
Calculate \sqrt{x} to the power of 2 and get x.
8+12\sqrt{x}+6x+\left(\sqrt{x}\right)^{3}+8-12\sqrt{x}+6\left(\sqrt{x}\right)^{2}-\left(\sqrt{x}\right)^{3}
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(2-\sqrt{x}\right)^{3}.
8+12\sqrt{x}+6x+\left(\sqrt{x}\right)^{3}+8-12\sqrt{x}+6x-\left(\sqrt{x}\right)^{3}
Calculate \sqrt{x} to the power of 2 and get x.
16+12\sqrt{x}+6x+\left(\sqrt{x}\right)^{3}-12\sqrt{x}+6x-\left(\sqrt{x}\right)^{3}
Add 8 and 8 to get 16.
16+6x+\left(\sqrt{x}\right)^{3}+6x-\left(\sqrt{x}\right)^{3}
Combine 12\sqrt{x} and -12\sqrt{x} to get 0.
16+12x+\left(\sqrt{x}\right)^{3}-\left(\sqrt{x}\right)^{3}
Combine 6x and 6x to get 12x.
16+12x
Combine \left(\sqrt{x}\right)^{3} and -\left(\sqrt{x}\right)^{3} to get 0.
8+12\sqrt{x}+6\left(\sqrt{x}\right)^{2}+\left(\sqrt{x}\right)^{3}+\left(2-\sqrt{x}\right)^{3}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2+\sqrt{x}\right)^{3}.
8+12\sqrt{x}+6x+\left(\sqrt{x}\right)^{3}+\left(2-\sqrt{x}\right)^{3}
Calculate \sqrt{x} to the power of 2 and get x.
8+12\sqrt{x}+6x+\left(\sqrt{x}\right)^{3}+8-12\sqrt{x}+6\left(\sqrt{x}\right)^{2}-\left(\sqrt{x}\right)^{3}
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(2-\sqrt{x}\right)^{3}.
8+12\sqrt{x}+6x+\left(\sqrt{x}\right)^{3}+8-12\sqrt{x}+6x-\left(\sqrt{x}\right)^{3}
Calculate \sqrt{x} to the power of 2 and get x.
16+12\sqrt{x}+6x+\left(\sqrt{x}\right)^{3}-12\sqrt{x}+6x-\left(\sqrt{x}\right)^{3}
Add 8 and 8 to get 16.
16+6x+\left(\sqrt{x}\right)^{3}+6x-\left(\sqrt{x}\right)^{3}
Combine 12\sqrt{x} and -12\sqrt{x} to get 0.
16+12x+\left(\sqrt{x}\right)^{3}-\left(\sqrt{x}\right)^{3}
Combine 6x and 6x to get 12x.
16+12x
Combine \left(\sqrt{x}\right)^{3} and -\left(\sqrt{x}\right)^{3} to get 0.
Examples
Quadratic equation
{ 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}