To differentiate y=(1-2x+3x²) (4-5x²), you would need to use the product rule. The product rule states that if y = u * v, then y' = u'v + uv'. In this case, u = (1-2x+3x²) and v = (4-5x²). To find the derivative of y, you would need to find the derivative of u and v and plug them into the product rule. The derivative of u is u' = -2 + 6x and the derivative of v is v' = -10x. Plugging these values into the product rule, we get y' = (1-2x+3x²) (-10x) + (4-5x²) (-2+6x). Simplifying this expression gives us y' = -15x² + 8x + 4.