36ax²+60ay²+84az²
You asked:
Evaluate the expression: \(36 a \cdot {x}^{2} + 60 a \cdot {y}^{2} + 84 a \cdot {z}^{2}\)
MathBot Answer:
Evaluated
\(\displaystyle 36 a \cdot {x}^{2} + 60 a \cdot {y}^{2} + 84 a \cdot {z}^{2} = 36 x^{2} a + 60 y^{2} a + 84 z^{2} a \)
Factored
\[36 a \cdot {x}^{2} + 60 a \cdot {y}^{2} + 84 a \cdot {z}^{2} = 12 a \left(3 x^{2} + 5 y^{2} + 7 z^{2}\right)\]