Question

If A = 3x² – 4x + 1, B = 5x² + 3x – 8 and C = 4x² – 7x + 3, then find:

(A + B) – C

Answer 1

Given, A = 3x² – 4x + 1, B = 5x² + 3x – 8 and C = 4x² – 7x + 3

(A + B) – C = (3x² – 4x + 1 + 5x² + 3x – 8) – (4x² – 1x + 3)

On combining the like terms,

= (3x² + 5x² – 4x + 3x + 1 – 8) – (4x² – 1x + 3)

= (8x² – x – 7) – (4x² – 7x + 3)

= 8x² – x – 7 – 4x² + 7x – 3

= 8x² – 4x² – x + 7x – 7 – 3

= 4x² + 6x – 10