Question

Factorise by grouping method ab(x square+1)+x(a sqare+b square)

Answer 1

$\huge\mathrm{Solution}$

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

${abx^2+ab+a^2x+b^2x}$

${abx^2+a^2x+b^2x+ab}$

${ax(bx+a)+b(bx+a)}$

${(ax+b)(bx+a)}$

Answer 2

SOLUTION :-

= ab(x²+1)+x(a²+b²)

= abx²+ab+a²x+b²x

= abx²+a²x+b²x+ab

= ax(bx+a)+b(bx+a)

= (ax+b)(bx+a)