(5x-2)(3x+5)-(3x+5)(x+2)

asked by guest
on Nov 28, 2024 at 12:26 am



You asked:

Evaluate the expression: \(\left(5 x - 2\right) \cdot \left(3 x + 5\right) - \left(3 x + 5\right) \cdot \left(x + 2\right)\)

MathBot Answer:

Evaluated



\(\displaystyle \left(5 x - 2\right) \cdot \left(3 x + 5\right) - \left(3 x + 5\right) \cdot \left(x + 2\right) = \left(3 x + 5\right) \left(5 x - 2\right) - \left(3 x + 5\right) \left(x + 2\right) \)

Expanded

\[\left(5 x - 2\right) \cdot \left(3 x + 5\right) - \left(3 x + 5\right) \cdot \left(x + 2\right) = 12 x^{2} + 8 x - 20\]

Factored

\[\left(5 x - 2\right) \cdot \left(3 x + 5\right) - \left(3 x + 5\right) \cdot \left(x + 2\right) = 4 \cdot \left(3 x + 5\right) \left(x - 1\right)\]

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