Evaluate
2\left(y-5\right)
Expand
2y-10
Graph
Quiz
Polynomial
5 problems similar to:
\frac { y ^ { 2 } - 2 y - 15 } { 4 } \cdot \frac { 8 } { y + 3 }
Share
Copied to clipboard
\frac{\left(y^{2}-2y-15\right)\times 8}{4\left(y+3\right)}
Multiply \frac{y^{2}-2y-15}{4} times \frac{8}{y+3} by multiplying numerator times numerator and denominator times denominator.
\frac{2\left(y^{2}-2y-15\right)}{y+3}
Cancel out 4 in both numerator and denominator.
\frac{2\left(y-5\right)\left(y+3\right)}{y+3}
Factor the expressions that are not already factored.
2\left(y-5\right)
Cancel out y+3 in both numerator and denominator.
2y-10
Expand the expression.
\frac{\left(y^{2}-2y-15\right)\times 8}{4\left(y+3\right)}
Multiply \frac{y^{2}-2y-15}{4} times \frac{8}{y+3} by multiplying numerator times numerator and denominator times denominator.
\frac{2\left(y^{2}-2y-15\right)}{y+3}
Cancel out 4 in both numerator and denominator.
\frac{2\left(y-5\right)\left(y+3\right)}{y+3}
Factor the expressions that are not already factored.
2\left(y-5\right)
Cancel out y+3 in both numerator and denominator.
2y-10
Expand the expression.
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}