Evaluate
4\left(x+2y\right)\left(5x+4y\right)
Expand
20x^{2}+56xy+32y^{2}
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20x^{2}+16xy+40yx+32y^{2}
Apply the distributive property by multiplying each term of 2x+4y by each term of 10x+8y.
20x^{2}+56xy+32y^{2}
Combine 16xy and 40yx to get 56xy.
20x^{2}+16xy+40yx+32y^{2}
Apply the distributive property by multiplying each term of 2x+4y by each term of 10x+8y.
20x^{2}+56xy+32y^{2}
Combine 16xy and 40yx to get 56xy.
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
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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}