Evaluate
\frac{27\left(y+4\right)^{2}}{25}
Expand
\frac{27y^{2}+216y+432}{25}
Graph
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\frac{\left(36+9y\right)\left(12+3y\right)}{5\times 5}
Multiply \frac{36+9y}{5} times \frac{12+3y}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(36+9y\right)\left(12+3y\right)}{25}
Multiply 5 and 5 to get 25.
\frac{432+108y+108y+27y^{2}}{25}
Apply the distributive property by multiplying each term of 36+9y by each term of 12+3y.
\frac{432+216y+27y^{2}}{25}
Combine 108y and 108y to get 216y.
\frac{\left(36+9y\right)\left(12+3y\right)}{5\times 5}
Multiply \frac{36+9y}{5} times \frac{12+3y}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(36+9y\right)\left(12+3y\right)}{25}
Multiply 5 and 5 to get 25.
\frac{432+108y+108y+27y^{2}}{25}
Apply the distributive property by multiplying each term of 36+9y by each term of 12+3y.
\frac{432+216y+27y^{2}}{25}
Combine 108y and 108y to get 216y.
Examples
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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}