Question

Factories the following:

(i) x^2 + 1/x^2 - 2 - 3x + 3/x.
(ii) a^2 x^2 + (ax^2 + 1) x + a.

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Answer 1

Answer:

(i) x² + 1/x² - 2 - 3x + 3/x.

$= {x}^{2} + ( \frac{1}{x} {)}^{2} - 2 - 3x \: + \frac{3}{x}$

$= (x - \frac{1}{x} {)}^{2} - 3(x \: - \frac{1}{x} )$

$= (x \: - \frac{1}{x} )(x \: - \frac{1}{x} - 3)$

ii)a² x² + (ax² + 1) x + a

= a² x² + (ax² + 1) x +a

We multiply x(ax² + 1) = ax³ + x

= a² x² + ax³ + x + a

= ax² (a + x) + 1(x + a)

= ax²(a + x) + 1(a + x)

= (ax² + 1)(a + x)

Answer 2

$\underline{\purple{\ddot{\Maths dude}}}$

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