Question

Factorise a(x²+1)=x(a²+1)​

Answer 1

Step-by-step explanation:

Given:-

an equation is a(x²+1)=x(a²+1)

To find:-

Factorise a(x²+1)=x(a²+1)

Solution:-

Given equation is a(x²+1)=x(a²+1)

=>ax²+a=a²x+x

=>ax²+a-a²x-x=0

On regrouping them

=>(ax²-x)+(a-a²x)=0

=>x(ax-1)+a(1-ax)=0

=>x(ax-1)-a(ax-1)=0

=>(ax-1)(x-a)=0

=>ax-1=0 (or)x-a=0

=>x=1/a or x=a

Answer:-

Factorization of a(x²+1)=x(a²+1) is (ax-1)(x-a)=0