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3 years ago

(b) 4x+3 2x-1 - 2 = 6x+2 2x-1

Mathematics

1 answer:

irga5000 [103]3 years ago

3 0

Answer:

Step-by-step explanation:

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Mkey [24]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Simplify ⇨ 1/x(x+a) + 1/x(x-a)

$\large \boxed{\mathbb{ANSWER \: WITH \: EXPLANATION} \downarrow}$

$\sf\frac { 1 } { x ( x + a ) } + \frac { 1 } { x ( x - a ) } \\$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $x\left(x+a\right)$ and $x\left(x-a\right)$ is $x\left(x+a\right)\left(x-a\right)$ . Multiply $\frac{1}{x\left(x+a\right)} times \frac{x-a}{x-a}$ . Multiply $\frac{1}{x\left(x-a\right)} times \frac{x+a}{x+a}$ .

$\sf\frac{x-a}{x\left(x+a\right)\left(x-a\right)}+\frac{x+a}{x\left(x+a\right)\left(x-a\right)} \\$

Because $\frac{x-a}{x\left(x+a\right)\left(x-a\right)}$ and $\frac{x+a}{x\left(x+a\right)\left(x-a\right)}$ have the same denominator, add them by adding their numerators.