Question

2. a^2*x^2+ (ax^2+ 1) x + a
(factorise by grouping method)
​

Answer 1

Answer:

${a}^{2} {x}^{2} + (a {x}^{2} + 1)x + a \\ = {a}^{2} {x}^{2} + a {x}^{3} + x + a \\ = ({a}^{2} {x}^{2} + a {x}^{3}) +( x + a ) \\ = a {x}^{2} (a + x) + 1(x + a) \\ = (x + a)(a {x}^{2} + 1)$

Answer 2

Answer:

a^2*x^2+(ax^2+1)x+a

= a^2 x^2+(ax^3+1)

=a^2 x^2+ax^3+x+a

=(a^2 x^2+ax^3)+(x+a)

=ax^2(a+x) +1(x+a)

=(x+a) (ax^2+1)