Question

plz can anyone solve this.​

Answer 1

Answer:

Let,

$\frac{a}{b} = \frac{c}{d} = \frac{e}{f} = k$

So,

a³ = k³b³

c³ = k³d³

e³ = k³f³

Hence,

$\frac{p {a}^{3} + q {c}^{3} + r {e}^{3} }{ {p{b}^{3} +q {d}^{3} + r {f}^{3} } } = \frac{ {k}^{3}(p{b}^{3} +q {d}^{3} + r {f}^{3})}{(p{b}^{3} +q {d}^{3} + r {f}^{3})} = {k}^{3}$

So, LHS = k³

And,

RHS =

$\frac{a}{b} \times \frac{c}{d} \times \frac{e}{f} = k \times k \times k = {k}^{3}$

(From above assumptions)

We get LHS = RHS

Hence proved.

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