(2p+5q)(7-r+5s)

asked by guest
on Nov 17, 2024 at 11:26 pm



You asked:

Evaluate the expression: \(\left(2 p + 5 q\right) \cdot \left(7 - r + 5 s\right)\)

MathBot Answer:

\[\left(2 p + 5 q\right) \cdot \left(7 - r + 5 s\right) = \left(2 p + 5 q\right) \left(- r + 5 s + 7\right)\]

Expanded

\[\left(2 p + 5 q\right) \cdot \left(7 - r + 5 s\right) = - 2 p r + 10 p s + 14 p - 5 q r + 25 q s + 35 q\]

Factored

\[\left(2 p + 5 q\right) \cdot \left(7 - r + 5 s\right) = - \left(2 p + 5 q\right) \left(r - 5 s - 7\right)\]

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