If p = 2, q = 1, r = -3 then find the value of p² + q² + r² + 2pq
You asked:
Given the following equations: \[\begin{aligned}p &= 2\\ q &= 1\\ r &= -3\end{aligned}\] Evaluate \({p}^{2} + {q}^{2} + {r}^{2} + 2 p q\).
MathBot Answer:
\[{p}^{2} + {q}^{2} + {r}^{2} + 2 p q = {2}^{2} + {1}^{2} + {\left( -3 \right)}^{2} + 2 \cdot 2 \cdot 1 = 18\]