Question

if a^2- 4a+ 1= 4 then the value of (a^3 -a^2 +a -1) ÷( a^2 -1)

Answer 1

Answer:

=4

Step-by-step explanation:

(a^3 - a^2 + a - 1) / (a^2 - 1)

= {a^2(a - 1) + (a - 1)} / (a + 1)(a - 1)

= (a^2 + 1)(a - 1) / (a + 1)(a - 1)

= (a^2 + 1) / (a + 1)

= (a^2 - 4a + 1 + 4a) / (a + 1)

= (4 + 4a)/(a + 1)

= 4(a + 1)/(a + 1)

= 4