( 3 x - 2 y + 1 ) ( 0,5 x + 4 y - 0,5 )
Evaluate
\left(3x-2y+1\right)\left(\frac{x}{2}+4y-0,5\right)
Expand
11xy+\frac{3x^{2}}{2}-8y^{2}+5y-x-0,5
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1,5x^{2}+12xy-1,5x-yx-8y^{2}+y+0,5x+4y-0,5
Apply the distributive property by multiplying each term of 3x-2y+1 by each term of 0,5x+4y-0,5.
1,5x^{2}+11xy-1,5x-8y^{2}+y+0,5x+4y-0,5
Combine 12xy and -yx to get 11xy.
1,5x^{2}+11xy-x-8y^{2}+y+4y-0,5
Combine -1,5x and 0,5x to get -x.
1,5x^{2}+11xy-x-8y^{2}+5y-0,5
Combine y and 4y to get 5y.
1,5x^{2}+12xy-1,5x-yx-8y^{2}+y+0,5x+4y-0,5
Apply the distributive property by multiplying each term of 3x-2y+1 by each term of 0,5x+4y-0,5.
1,5x^{2}+11xy-1,5x-8y^{2}+y+0,5x+4y-0,5
Combine 12xy and -yx to get 11xy.
1,5x^{2}+11xy-x-8y^{2}+y+4y-0,5
Combine -1,5x and 0,5x to get -x.
1,5x^{2}+11xy-x-8y^{2}+5y-0,5
Combine y and 4y to get 5y.
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}