Question 1

Which expression will simplify to 1?

Question 2

Answer:

B.⁽
((m)/(m)(+9)/(-9) ) ((m)/(m) (- 9)/(+ 9) )

Explanation:

Question 3

Let us check each Option :

$\mathsf{First\;Option : \left((m + 9)/(m - 9)\right)\left((m + 9)/(m - 9)\right)}$

$\mathsf{\implies \left((m + 9)/(m - 9)\right)^2\;\\eq\;1}$

$\mathsf{Second\;Option : \left((m + 9)/(m - 9)\right)\left((m - 9)/(m + 9)\right)}$

$\mathsf{\implies 1}$

$\mathsf{Third\;Option : \left((m + 9)/(m - 9)\right)\left((9 + m)/(9 - m)\right)}$

$\mathsf{\implies \left((m + 9)/(m - 9)\right)\left((m + 9)/(-(m - 9))\right)}$

$\mathsf{\implies-\left((m + 9)/(m - 9)\right)\left((m + 9)/(m - 9)\right)}$

$\mathsf{\implies-\left((m + 9)/(m - 9)\right)^2\;\\eq\;1}$

$\mathsf{Fourth\;Option : \left((m + 9)/(m - 9)\right)\left((9 - m)/(9 + m)\right)}$

$\mathsf{\implies \left((m + 9)/(m - 9)\right)\left((-(m - 9))/(9 + m)\right)}$

$\mathsf{\implies -\left((m + 9)/(m - 9)\right)\left((m - 9)/(9 + m)\right)}$

$\mathsf{\implies -1\;\\eq\;1}$

Answer : Option (2)

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