Question

plz help fast it's urgent ​

Answer 1

$\textbf{Given:}$

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

$\textbf{To find:}$

$\text{Factors of ab(x^2+1)+x(a^2+b^2) }$

$\textbf{Solution:}$

$\text{Consider,}$

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

$=ab\,x^2+ab+x(a^2+b^2)$

$\text{Rearranging terms, we get}$

$=ab\,x^2+(a^2+b^2)x+ab$

$=ab\,x^2+a^2\,x+b^2\,x+ab$

$=ax(b\,x+a)+b(b\,x+a)$

$=(a\,x+b)(b\,x+a)$

$\implies\bf\,ab(x^2+1)+x(a^2+b^2)=(a\,x+b)(b\,x+a)$

$\therefore\textbf{Factors of \bf\,ab(x^2+1)+x(a^2+b^2) are \bf(a\,x+b) and \bf(b\,x+a) }$

Find more:

Factorise 8x^3+y^3+z^3-6xyz using identity 

https://brainly.in/question/13052882

Factorise 4 x square + 9 y square + 16 z square + 12 x y - 24 Y Z - 16 X Z

https://brainly.in/question/5027181

Factorise 1+64x^3 plz help me

https://brainly.in/question/4653673