Find the following product- x2-a2 - x-a

The correct option is D x^3 ax^2 a^2x+ a^3 (x^2 a^2) × nbsp;(x a) =(x^2 a^2) × nbsp;(x) (x^2 a^2) × nbsp;(a) =x^3 a^2x x^2a+a^3 ...

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Factorisation of a Polynomial

Find the foll...

Question

Find the following product: $(x^{2} - a^{2}) \times (x - a)$

x^{3} + a x^{2} - a^{2} x + a^{3}

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x^{3} - a x^{3} - a^{2} x - a^{3}

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x^{3} - a x^{3} - a^{2} x + a^{3}

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x^{3} - a x^{2} - a^{2} x + a^{3}

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f : R \to R

f (x) = (x - a_{1}) (x - a_{2}) + (x - a_{2}) (x - a_{3}) + (x - a_{3}) (x - a_{1})

a_{1}, a_{2}, a_{3} \in R

f (x) \geq 0

f : R \to R

f (x) = (x - a_{1}) (x - a_{2}) + (x - a_{2}) (x - a_{3}) + (x - x_{3}) (x - x_{1})

a_{1}, a_{2}, a_{3} \in R

\geq 0

{log}_{e} (1 + x + x^{2} + x^{3}) = a_{0} + a_{1} x + a_{2} x^{2} + a_{3} x^{3} + \dots

a_{1}

a_{2}

y = \frac{a^{3} x^{2}}{3} + \frac{a^{2} x}{2} - 2 a

(1 + x + x^{2}) (1 - \frac{x}{1!} + \frac{x^{2}}{2!} - \frac{x^{3}}{3!} + \dots) = a_{0} + a_{1} x + a_{2} x^{2} + a_{3} x^{3} + a_{4} x^{4} + . . .

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