(y^2-5y+2)(2y-3) expand and simplify

asked by guest
on Jan 10, 2025 at 9:12 am



You asked:

Simplify the expression: \(\left({y}^{2} - 5 y + 2\right) \left(2 y - 3\right)\)

MathBot Answer:

Simplified:

\[ \left({y}^{2} - 5 y + 2\right) \left(2 y - 3\right) = \left(2 y - 3\right) \left(y^{2} - 5 y + 2\right) \]


Expanded:

\[ \left({y}^{2} - 5 y + 2\right) \left(2 y - 3\right) = 2 y^{3} - 13 y^{2} + 19 y - 6 \]


Factored:

\[ \left({y}^{2} - 5 y + 2\right) \left(2 y - 3\right) = \left(2 y - 3\right) \left(y - \frac{5}{2} - \frac{\sqrt{17}}{2}\right) \left(y - \frac{5}{2} + \frac{\sqrt{17}}{2}\right) \]