Question

ab(c² + 1) + c(a² +b square) ​

Answer 1

$\huge\underline\mathrm\purple{SOlution}$

$\sf ab(c^2+1)+c(a^2+b^2)$

$\sf abc^2+ab+a^2c+b^2c$

$\sf abc^2+b^2c+a^2c+ab$

$\sf bc(ac+b)+a(ac+b)$

$\sf (ac+b)(bc+a)$

Answer 2

Solution :-

ab²(c+1)+c(a²+b²)

= abc²+ab+a²c+b²c

= abc²+b²c+a²c+ab

= bc(ac+b)+a(ac+b)

= (ac+b)(bc+a)