Question

expand [p÷3+ q÷4] square ​

Answer 1

(p/2)² + 2(p/3)(q/4) + (q/4)²

Answer 2

Answer:

$\left( \dfrac{p^2}{9} + \dfrac{q^2}{16} + \dfrac{pq}{6} \right)$

Step-by-step explanation:

$\left( \dfrac{p}{3} + \dfrac{q}{4} \right) ^2\\\\\\= \left[ \left( \dfrac{p}{3} \right) ^2 + \left( \dfrac{q}{4} \right) ^2 + 2 \left( \dfrac{p}{3} \right) \left( \dfrac{q}{4} \right) \right]\\\\\\= \left( \dfrac{p^2}{9} + \dfrac{q^2}{16} + \dfrac{pq}{6} \right)$