If $a^2 + b^2 = 3$ and $c^2 + d^2 = 4$, find the value of

$$(ac+bd)^2 + (bc - ad)^2.$$
Question:
If $a^2 + b^2 = 3$ and $c^2 + d^2 = 4$, find the value of

$$(ac+bd)^2 + (bc - ad)^2.$$
Answer:
Let's think step by step.

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12
If $a^2 + b^2 = 3$ and $c^2 + d^2 = 4$, find the value of

$$(ac+bd)^2 + (bc - ad)^2.$$
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