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Factorisation Using Algebraic Identities

x3-x=? a xx2-...

Question

$x^{3} - x = ? (a) x (x^{2} - x) (b) x (x - x^{2}) (c) x (1 + x) (1 - x) (d) x (x + 1) (x - 1)$

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Solution

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

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Similar questions

Q. Tick (✓) the correct answer:
x³ − x = ?
(a) x(x² − x)
(b) x(x − x²)
(c) x(1 + x)(1 − x)
(d) x(x + 1)(x − 1)

Q. Differentiate

y = (1 + 1 / x)^{x} + x^{1 + 1 / x}

y = {(1 + \frac{1}{x})}^{x} + x^{1 + \frac{1}{x}} .

Q. Total energy of a particle having a displacement

^{'} x^{'}

executing simple harmonic motion is

\frac{d y}{d x}

y = x^{x} + x^{1 / x}

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Factorisation Using Algebraic Identities

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