Question

If a/b = c/d, then (a^2+c^2)/b^2 + d^2
= ?​

Answer 1

Answer:

$if \: \frac{a}{b} = \frac{c}{d}$

$ad = bc$

$\frac{ {a}^{2} + {b}^{2} }{ {b}^{2} } + {d}^{2}$

Answer 2

Step-by-step explanation:

$\frac{a}{b} = \frac{c}{d}$

$ad = bc$

$to \: find \: \: \frac{a^{2} + {c}^{2} }{ {d}^{2} }$

$\frac{ {a}^{2} }{ {d}^{2} } + \frac{ {c}^{2} }{ {d}^{2} }$

$( \frac{a}{d} + \frac{c}{d} )^{2}$

$( \frac{a}{d} )^{2} + ( \frac{c}{d} ) ^{2} + 2 \times \frac{a}{d} \times \frac{c}{d}$

$\frac{ {a}^{2} }{ {b}^{2} } + \frac{ {c}^{2} }{ {b}^{2} } + \frac{2ac}{ {d}^{2} }$