Question

$$\frac{ x }{ 9y } + \frac{ x }{ 4 { y }^{ 2 } }$$

Answer

$$(x*(4*y+9))/(36*y^2)$$

Solution


Rewrite the expression with a common denominator.
\[\frac{xy\times 4+x\times 9}{9{y}^{2}\times 4}\]
Regroup terms.
\[\frac{4xy+x\times 9}{9{y}^{2}\times 4}\]
Regroup terms.
\[\frac{4xy+9x}{9{y}^{2}\times 4}\]
Factor out the common term \(x\).
\[\frac{x(4y+9)}{9{y}^{2}\times 4}\]
Simplify  \(9{y}^{2}\times 4\)  to  \(36{y}^{2}\).
\[\frac{x(4y+9)}{36{y}^{2}}\]