Question

factorise following equation
g(x)=a(x^2+1)-x(a^2+1)​

Answer 1

Answer:

When completing the square, an expression like,

ax2 + bx + c is written in the form (Ax + B)2 + C.

We will begin with the simple example where a = 1. In this case we will write expressions in the form

x2 + bx + c as (x + B)2 + C

If we expand (x + B)2 + C we get x2 + 2Bx + B2 + C.

Comparing this with x2 + bx + c shows that

b = 2B and c = B2 + C

which gives B =  

b

2

and C = c – B2

Step-by-step explanation: