Question

simplify (x^2-2x^2+3x-4) (x-1)-(2x-3)(x^2-x+1)

Answer 1

= (x3 – 2x2 + 3x – 4) (x – 1) – (2x – 3) (x2 – x + 1)

= x4 – 2x3 + 3x2 – 4x – x3 + 2x2 – 3x + 4 – (2x3 – 2x2 + 2x – 3x2 + 3x – 3)

= x4 – 3x3 + 5x2 – 7x + 4 – 2x3 + 5x2 – 5x + 3

= x4 – 5x3 + 10x2 – 12x + 7