simplify 6(ax-2by) plus 2(2bx-ay)-5(ax-by)-by

asked by guest
on Mar 26, 2023 at 9:08 pm

You asked:

Simplify the expression: \(6 \cdot \left(a x - 2 b y\right) + 2 \cdot \left(2 b x - a y\right) - 5 \cdot \left(a x - b y\right) - b y\)

MathBot Answer:

Simplified:

\[ 6 \cdot \left(a x - 2 b y\right) + 2 \cdot \left(2 b x - a y\right) - 5 \cdot \left(a x - b y\right) - b y = a x - 2 a y + 4 b x - 8 b y \]


Expanded:

\[ 6 \cdot \left(a x - 2 b y\right) + 2 \cdot \left(2 b x - a y\right) - 5 \cdot \left(a x - b y\right) - b y = a x - 2 a y + 4 b x - 8 b y \]


Factored:

\[ 6 \cdot \left(a x - 2 b y\right) + 2 \cdot \left(2 b x - a y\right) - 5 \cdot \left(a x - b y\right) - b y = \left(a + 4 b\right) \left(x - 2 y\right) \]

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active 1 year ago