Factorize: A^2 X^2 + (Ax^2 + 1)X + a - Mathematics

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Factorize: `a^2 x^2 + (ax^2 + 1)x + a`

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Solution

We Multiply x (ax2 +1) = ax3 + x

= a2 x2 + ax3 + x + a

Taking common ax2 in (a2 x2  + ax3 ) and 1 in ( x + a)

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

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

Taking (a + x ) common in both the terms

= (a + x)(ax2 +1)

∴ a2 x2 + (ax2 +1) x + a = (a + x)(ax2 +1)

  Is there an error in this question or solution?
Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.1 [Page 9]

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RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.1 | Q 4 | Page 9

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