Factorise by the grouping method :ab(x^2+ 1) + x (a^2+ b^2) - Vidyadip

Question

Factorise by the grouping method $:ab(x^2+ 1) + x (a^2+ b^2)$

✓

Answer

$ab (x^2 + 1) + x (a^2+ b^2)= abx^2 + ab + a^2x + b^2x$
$= abx^2 + b^2x + a^2x + ab$
$= bx(ax + b) + a(ax + b)$
$= (ax + b)(bx + a).$

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