Question

1

`(1)/(m - n) - \frac{m + n}{m {}^(2) - n {}^(2) }`
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Answer 1

0

Explanation:

We need to simplify the given expression . The given expression is ,

→ 1/ ( m - n) - (m + n)/ ( m² - n² )

→ 1/ ( m - n) - ( m + n)/(m+n)(m-n)

• Using a² - b² = (a+b)(a-b)
• Now cancel m+n in numerator and denominator .

→ 1/( m - n) - 1/ ( m - n)

→ 0

Hence the required answer is 0 .

Answer 2

`(1)/(m - n) - \frac{m + n}{m {}^(2) - n {}^(2) }`

Factor if necessary:

x²-y²=(x+y)(x-y) use this formula

`(1)/(m - n) - \frac{m + n}{ {(m + n)(m - n)}}`

`(1)/(m - n) - \frac{1}{ {(m - n)}}`

Take lcm and subtract:

=0