(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: \[ -5x^2 + 17x - 6 \]