Question

Plz solve this question​

Answer 1

`\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
`(1)/(x\left(x+a\right)) times (x-a)/(x-a)`. Multiply
`(1)/(x\left(x-a\right)) times (x+a)/(x+a)`.

`\sf(x-a)/(x\left(x+a\right)\left(x-a\right))+(x+a)/(x\left(x+a\right)\left(x-a\right)) \\`

Because
`(x-a)/(x\left(x+a\right)\left(x-a\right))` and
`(x+a)/(x\left(x+a\right)\left(x-a\right))` have the same denominator, add them by adding their numerators.

`\sf(x-a+x+a)/(x\left(x+a\right)\left(x-a\right)) \\`

Combine like terms in x-a+x+a.

`\sf(2x)/(x\left(x+a\right)\left(x-a\right)) \\`

Cancel out x in both the numerator and denominator.

`\sf(2)/(\left(x+a\right)\left(x-a\right)) \\`

Expand
`\left(x+a\right)\left(x-a\right)`.

`\boxed{\boxed{ \bf(2)/(x^(2)-a^(2))}} \\`