(5х-2)(3-х)

To expand the expression \((5x - 2)(3 - x)\), you can use the distributive property (also known as the FOIL method for binomials). Here's how you do it step by step:

1. Multiply \(5x\) by \(3\): \[ 5x \cdot 3 = 15x \]

2. Multiply \(5x\) by \(-x\): \[ 5x \cdot (-x) = -5x^2 \]

3. Multiply \(-2\) by \(3\): \[ -2 \cdot 3 = -6 \]

4. Multiply \(-2\) by \(-x\): \[ -2 \cdot (-x) = 2x \]

Now, combine all these results together: \[ -5x^2 + 15x + 2x - 6 \]

Combine like terms (\(15x + 2x\)): \[ -5x^2 + 17x - 6 \]

So, the expanded form of \((5x - 2)(3 - x)\) is: \[ -5x^2 + 17x - 6 \]