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Question

Factorise:
a2x2+(ax2+1)x+a

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Solution

a2 x2 + (ax2 + 1)x + a

a2 x2 + (ax2 + 1)x + a

= a2 x2 + ax3 + x + a

= ax2 (a + x) + 1 (x + a)

= (ax2 + 1) (a + x)


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