x-3y-3y(x-2y)-(-4x+7y) simplest form

asked by guest
on Jan 10, 2025 at 11:25 pm



You asked:

Simplify the expression: \(x - 3 y - 3 y \left(x - 2 y\right) - \left(-\left( 4 x \right) + 7 y\right)\)

MathBot Answer:

Simplified:

\[ x - 3 y - 3 \cdot y\left( x - 2 y \right) - \left(-\left( 4 x \right) + 7 y\right) = 5 x - 3 y \left(x - 2 y\right) - 10 y \]

$$\begin{aligned}x - 3 y - 3 y \left(x - 2 y\right) - \left(7 y - 4 x\right)\\\left(- 2 y + x\right) \left(- 3 y\right) + x - 3 y - \left(7 y - 4 x\right)\\\left(x - 2 y\right) \left(- 3 y\right) + x - 3 y - \left(7 y - 4 x\right)\\\left(- 2 y + x\right) \left(- 3 y\right) + x - 3 y - 7 y + 4 x\\6 y^{2} - 3 x y + x - 3 y - 7 y + 4 x\\5 x - 3 y \left(x - 2 y\right) - 10 y\end{aligned}$$

Expanded:

\[ x - 3 y - 3 \cdot y\left( x - 2 y \right) - \left(-\left( 4 x \right) + 7 y\right) = - 3 x y + 5 x + 6 y^{2} - 10 y \]

Factored:

\[ x - 3 y - 3 \cdot y\left( x - 2 y \right) - \left(-\left( 4 x \right) + 7 y\right) = - \left(3 y - 5\right) \left(x - 2 y\right) \]


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