Answer:
(4x+3) - 7/(x+1)
Step-by-step explanation:
(4x²+7x-4) ÷ (x+1)
(4x² + 4x + 3x - 4) ÷ (x + 1)
(4x(x + 1) + 3x - 4) ÷ (x + 1)
(4x(x + 1) + 3x + 3 -7) ÷ (x + 1)
(4x(x + 1) + 3(x + 1) - 7) ÷ (x + 1)
[(x + 1)(4x+3) - 7] ÷ (x + 1)
[(x + 1)(4x+3) ÷ (x - 1)] - [7 ÷ (x + 1)]
(4x+3) - 7/(x+1)
