Question

simplify [m^4-1]/[m^2-1]

Answer 1

[m^4-1]/[m^2-1]
[m^3]/[m^1]
m^3/m^1
m^3-1
m^2
ANS-m^2

Answer 2

Answer:

The simplification of the expression is $\frac{m^4-1}{m^2-1}=m^2+1$

Step-by-step explanation:

Given : Expression $\frac{m^4-1}{m^2-1}$

To find : Simplify the expression ?

Solution :

Write expression as

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

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

Apply identity, $a^2-b^2=(a+b)(a-b)$

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

Cancel the same term,

$=m^2+1$

Therefore, The simplification of the expression is $\frac{m^4-1}{m^2-1}=m^2+1$