Question

Simplify each sum or difference. State any restrictions on the variables.

Answer 1

Simplification of each sum or difference of the given equation $\frac{(5y+2)}{(xy^{2} )}+ \frac{(2x-4)}{4xy}$ is equal to $\frac{(xy+8y+4)}{2xy^{2} }$ .Restriction on the variables is given by x≠0 , y≠0 .

As given in the question,

Given equation is $\frac{(5y+2)}{(xy^{2} )}+ \frac{(2x-4)}{4xy}$

Simplify the given equation by taking the least common multiple,

$\frac{(5y+2)}{(xy^{2} )}+ \frac{(2x-4)}{4xy}\\\\\\= \frac{20y +8+2xy-4y}{4xy^{2}}\\ \\\\= \frac{2xy+16y+8}{4xy^{2}}\\ \\\\= \frac{xy+8y+4}{2xy^{2}}$

Restriction on the variables are x≠0 , y≠0.

Therefore, simplification of each sum or difference of the given equation $\frac{(5y+2)}{(xy^{2} )}+ \frac{(2x-4)}{4xy}$ is equal to $\frac{(xy+8y+4)}{2xy^{2} }$ .Restriction on the variables is given by x≠0 , y≠0 .

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