Question

simplify : m4-1/m2-1

Answer 1

using formula
a²-b² = (a+b)(a-b)

m⁴-1/m²-1 is equal to m²+1

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Answer 2

Answer:

The simplified form of given expression is $m^2+1$.

Step-by-step explanation:

The given expression is

$\frac{m^4-1}{m^2-1}$

It can be written as

$\frac{(m^2)^2-1^2}{m^2-1}$

Using algebraic formula:

$a^2-b^2=(a-b)(a+b)$

$\frac{(m^2)^2-1^2}{m^2-1}=\frac{(m^2-1)(m^2+1)}{m^2-1}$

Cancel out the common factor.

$\frac{(m^2)^2-1^2}{m^2-1}=(m^2+1)$

Therefore the simplified form of given expression is $m^2+1$.