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Algebraic Identities

Factorize x3 ...

Question

Factorize $x^{3} - 12 x (x - 4) - 64$

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Solution

$x^{3} - 12 x (x - 4) - 64 = x^{3} - 12 x^{2} + 48 x - 64 = (x)^{3} - 3 \times x^{3} \times 4 + 3 \times x \times (4)^{2} - (4)^{3} = (x - 4)^{3} = (x - 4) (x - 4) (x - 4)$

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Q. x³ − 12x(x − 4) − 64

x^{3} + 64

.

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x^{3} - 64

are ______________.

lim x \to 4 (\frac{x^{3} - 64}{x^{2} - 16})

lim x \to 4 \frac{x^{3} - 64}{x^{2} - 16}

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