Question

factorise =ab(x^2 +1)+x(a^2 +b^2)

Answer 1

hope it helps just take 'xa' and 'b' common

Answer 2

Answer:

$(xa+b)(a+bx)$

Step-by-step explanation:

The given equation is:

$ab(x^2+1)+x(a^2+b^2)$

=$abx^2+ab+xa^2+xb^2$

=$xa^2+xb^2+abx^2+ab$

=$xa^2+abx^2+xb^2+ab$

=$xa(a+bx)+b(xb+a)$

=$(xa+b)(a+bx)$

which is the required factorized form of the given equation.