Question

-Rational expressions and Equations-Simplify each and leave answer in factored form

Answer 1

Answer:

To Simplify each and leave answer in factored form ​

1)

$\frac{18x^3y}{4x^4y}$

Cancelling the cmmon terms, we get,

$=\frac{9}{2x}$

2)

$\frac{30+42n}{9mn}$

Since the denominator is common to both the terms over addition , we get

$=\frac{30}{9mn}+\frac{42n}{9mn}$$=\frac{10}{3mn}+_{}\frac{14}{3m}$

3)

$\frac{2x^2+xy-y^2}{3x^2+3xy}$

we get,

$=\frac{2x^2+xy+xy-xy-y^2}{3x^2+3xy}$$=\frac{2x^2+2xy-xy-y^2}{3x^2+3xy}$$=\frac{2x^2+2xy}{3x^2+3xy}-\frac{xy+y^2}{3x^2+3xy}$

$=\frac{2(x^2+xy)}{3(x^2+xy)}-\frac{xy+y^2}{3x^2+3xy}$$=\frac{2}{3}-\frac{xy+y^2}{3x^2+3xy}$