r[2x + (3x - 5y + 7y)] - 2 (5x - 3z)

asked by guest
on Nov 23, 2024 at 6:33 am



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

\[r \cdot \left(2 x + 3 x - 5 y + 7 y\right) - 2 \cdot \left(5 x - 3 z\right) = 5 r x + 2 r y - 10 x + 6 z\]