r[2x + (3x - 5y + 7y)] - 2 (5x - 3z)
You asked:
Evaluate the expression: \(r \cdot \left(2 x + 3 x - 5 y + 7 y\right) - 2 \cdot \left(5 x - 3 z\right)\)
MathBot Answer:
Evaluated
\(\displaystyle r \cdot \left(2 x + 3 x - 5 y + 7 y\right) - 2 \cdot \left(5 x - 3 z\right) = r \left(5 x + 2 y\right) - 10 x + 6 z \)
Expanded
\[r \cdot \left(2 x + 3 x - 5 y + 7 y\right) - 2 \cdot \left(5 x - 3 z\right) = 5 r x + 2 r y - 10 x + 6 z\]
Factored
\[r \cdot \left(2 x + 3 x - 5 y + 7 y\right) - 2 \cdot \left(5 x - 3 z\right) = 5 r x + 2 r y - 10 x + 6 z\]