Question

Simplify:
The answer is 1 but how ​

Answer 1

Step-by-step explanation:

$\frac{ ({x}^{m + n + 2} )( {x}^{m + n - 2} )}{ {x}^{2m + 2n} }$

${x}^{(m + n + 2) +( m + n - 2) - (2m + 2n)}$

${x}^{m + n + 2 + m + n - 2 - 2m - 2n}$

${x}^{0}$

1

Answer 2

Answer:

1

Step-by-step explanation:

Given that : (X power of m+n+2) (X m+n-2) ÷ X power of 2m+2n.

We know that : if two numbers of  same bases are multipled , their powers will be added.

So , the equation will be as follow :

X power (m+m+n+n+2-2) ÷ X power (2m+2n).

then X  power (2m+2n) ÷ X power (2m+2n).

In this both bases and powers are equal. when the same numbers divide each other , then the answer will be 1.

Hope it helps you.

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