Question

factorise ab(x^2 + 1) + x(a^2 + b^2)​

Answer 1

Step-by-step explanation:

Given expression is

ab(x² + 1) + x(a² + b²)

=>abx²+ab+a²x+b²x

=>(abx²+a²x)+(ab+b²x)

=>ax(bx+a)+b(a+bx)

=>ax(a+bx)+b(a+bx)

=>(a+bx)(ax+b)

(or)

(ax+b)(bx+a)