Question

factorie( i) ab(x^2+1)+x(a^2+b^2)​

Answer 1

Questions:

Factorize:

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

Answer:

(xa + b)(a + bx)

Step By Step Solution:

$ab(x^{2} + 1) + x(a^{2} + b^{2}) \\ = abx^{2} + ab + xa^{2} + xb^{2} \\ = xa^{2} + abx^{2} + xb^{2} + ab \\ = xa(a+bx) + b(xb + a) \\ = (xa+b)(a + bx)$

☆Here☆

Factorization means writing a number/expression as product of its factors.