find 3ab+4bc+3ca-a²-b²-c²? if a=2, b=3, c=-2
You asked:
Calculate the value of \(3 a b + 4 b c + 3 c a - {a}^{2} - {b}^{2} - {c}^{2}\) when \(a = 2\), \(b = 3\), and \(c = -2\).
MathBot Answer:
\[3 a b + 4 b c + 3 c a - {a}^{2} - {b}^{2} - {c}^{2} = 3 \cdot 2 \cdot 3 + 4 \cdot 3 \cdot -2 + 3 \cdot -2 \cdot 2 - {2}^{2} - {3}^{2} - {\left( -2 \right)}^{2} = -35\]