Evaluate
12x^{2}+10y^{3}+22
Expand
12x^{2}+10y^{3}+22
Share
Copied to clipboard
2\left(4x^{2}+y^{3}+3+\frac{1}{2}\left(8y^{3}+4x^{2}+16\right)\right)
Use the distributive property to multiply \frac{1}{2} by 8x^{2}+2y^{3}+6.
2\left(4x^{2}+y^{3}+3+4y^{3}+2x^{2}+8\right)
Use the distributive property to multiply \frac{1}{2} by 8y^{3}+4x^{2}+16.
2\left(4x^{2}+5y^{3}+3+2x^{2}+8\right)
Combine y^{3} and 4y^{3} to get 5y^{3}.
2\left(6x^{2}+5y^{3}+3+8\right)
Combine 4x^{2} and 2x^{2} to get 6x^{2}.
2\left(6x^{2}+5y^{3}+11\right)
Add 3 and 8 to get 11.
12x^{2}+10y^{3}+22
Use the distributive property to multiply 2 by 6x^{2}+5y^{3}+11.
2\left(4x^{2}+y^{3}+3+\frac{1}{2}\left(8y^{3}+4x^{2}+16\right)\right)
Use the distributive property to multiply \frac{1}{2} by 8x^{2}+2y^{3}+6.
2\left(4x^{2}+y^{3}+3+4y^{3}+2x^{2}+8\right)
Use the distributive property to multiply \frac{1}{2} by 8y^{3}+4x^{2}+16.
2\left(4x^{2}+5y^{3}+3+2x^{2}+8\right)
Combine y^{3} and 4y^{3} to get 5y^{3}.
2\left(6x^{2}+5y^{3}+3+8\right)
Combine 4x^{2} and 2x^{2} to get 6x^{2}.
2\left(6x^{2}+5y^{3}+11\right)
Add 3 and 8 to get 11.
12x^{2}+10y^{3}+22
Use the distributive property to multiply 2 by 6x^{2}+5y^{3}+11.
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}