Evaluate
2\left(y+5\right)\left(3y+1\right)
Expand
6y^{2}+32y+10
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\left(5y+1-4y+4\right)\left(5y+1+y+1\right)
Use the distributive property to multiply -4 by y-1.
\left(y+1+4\right)\left(5y+1+y+1\right)
Combine 5y and -4y to get y.
\left(y+5\right)\left(5y+1+y+1\right)
Add 1 and 4 to get 5.
\left(y+5\right)\left(6y+1+1\right)
Combine 5y and y to get 6y.
\left(y+5\right)\left(6y+2\right)
Add 1 and 1 to get 2.
6y^{2}+2y+30y+10
Apply the distributive property by multiplying each term of y+5 by each term of 6y+2.
6y^{2}+32y+10
Combine 2y and 30y to get 32y.
\left(5y+1-4y+4\right)\left(5y+1+y+1\right)
Use the distributive property to multiply -4 by y-1.
\left(y+1+4\right)\left(5y+1+y+1\right)
Combine 5y and -4y to get y.
\left(y+5\right)\left(5y+1+y+1\right)
Add 1 and 4 to get 5.
\left(y+5\right)\left(6y+1+1\right)
Combine 5y and y to get 6y.
\left(y+5\right)\left(6y+2\right)
Add 1 and 1 to get 2.
6y^{2}+2y+30y+10
Apply the distributive property by multiplying each term of y+5 by each term of 6y+2.
6y^{2}+32y+10
Combine 2y and 30y to get 32y.
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}