Question

Factorise : a^2x^2+(ax^2+1)x+a​

Answer 1

HEYA !!!!

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

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

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

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

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

THANK YOU FOR THIS WONDERFUL QUESTION

Answer 2

Answer:

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

Step-by-step explanation:

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

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

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

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

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

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