Question

Simplify each of the following expressions
3x + x2 \6x +18
2x \ x-1

Answer 1

Answer:

Step-by-step explanation:

1. 3x+2x/6x+18

By Rationalising, we get

$=\frac{3x+2x}{6x+18}*\frac{6x-18}{6x-18}$

$=\frac{(3x+2x)(6x-18)}{(6x)^{2} -18^{2} }$

$=\frac{18x^{2}-54x+12x^{2} -36x}{36x^{2}-324 }$

$=\frac{30x^{2} -90x}{36x^{2} -324}$

2. 2x/x-1

By Rationalising, we get

$=\frac{2x}{x-1} *\frac{x+1}{x+1}$

$=\frac{2x^{2}+2x }{x^{2} -1^{2} }$

$=\frac{2x^{2}+2x }{x^{2} -1}$

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