Factorise:

$a^{4} - 1$

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Solution

$a^{4} - 1$
$(a^{2})^{2} - 1^{2}$
$(a^{2} - 1) (a^{2} + 1)$
$(a - 1) (a + 1) (a^{2} + 1)$

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Factorise:

$a^{4} - 343 a$

⎡ ⎣ ⎛ ⎝ 1 + \frac{1}{10 + \frac{1}{10}} ⎞ ⎠ \times ⎛ ⎝ 1 + \frac{1}{10 + \frac{1}{10}} ⎞ ⎠ - ⎛ ⎝ 1 - \frac{1}{10 + \frac{1}{10}} ⎞ ⎠ \times ⎛ ⎝ 1 - \frac{1}{10 + \frac{1}{10}} ⎞ ⎠ ⎤ ⎦

\div ⎡ ⎣ ⎛ ⎝ 1 + \frac{1}{10 + \frac{1}{10}} ⎞ ⎠ + ⎛ ⎝ 1 - \frac{1}{10 + \frac{1}{10}} ⎞ ⎠ ⎤ ⎦

Let B = {1 orange, 1 pineapple, 1 banana, 1 apple}

Let U = {1 orange, 1 apricot, 1 pineapple, 1 banana, 1 mango, 1 apple, 1 kiwifruit}

B’ =

\sum_{k = 1}^{10} \frac{(- 1)^{k - 1}}{K} . (10_{C_{K}}) =

$(11111111)^{2}$ equals:

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