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Q.

The simplified form of the expression $\frac{4 + 10 ω}{8 - 50 ω^{2}}$ is

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a

\frac{1}{2 - 5 ω}

b

2 - 5 ω

c

2 + 5 ω

d

\frac{1}{2 + 5 ω}

answer is A.

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Detailed Solution

\frac{4 + 10 ω}{8 - 50 ω^{2}}

\frac{2 (2 + 5 ω)}{2 (4 - 25 ω^{2})}

\frac{2 + 5 ω}{4 - 25 ω^{2}}

\frac{2 + 5 ω}{2^{2} - (5 {ω)}^{2}}

\frac{2 + 5 ω}{(2 + 5 ω) (2 - 5 ω)}

\frac{1}{2 - 5 ω},

which is the required simplified form.
Hence, 1 is the correct option.

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