Tick the correct answer-a-1a-1a2-1-a a4-2 a2-1b a4-a2-1c a4-1d a4-1

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Byju's Answer

Standard VIII

Chemistry

Atomic Mass

Tick the cor...

Question

Tick (✓) the correct answer:
(a + 1)(a − 1)(a² + 1) = ?
(a) (a⁴ − 2a² − 1)
(b) (a⁴ − a² − 1)
(c) (a⁴ − 1)
(d) (a⁴ + 1)

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Solution

(c) (a⁴ − 1)

$(i) (a + 1) (a - 1) (a^{2} + 1) \Rightarrow ({(a)}^{2} - {(1)}^{2}) (a^{2} + 1) [according to the formula a^{2} - b^{2} = (a + b) (a - b)] \Rightarrow (a^{2} - 1) (a^{2} + 1) \Rightarrow {(a^{2})}^{2} - {(1^{2})}^{2} [according to the formula a^{2} - b^{2} = (a + b) (a - b)] \Rightarrow a^{4} - 1$

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Similar questions

Tick $(✓)$ the correct answer in each of the following:
$(a + 1) (a - 1) (a^{2} + 1) = ?$
(a) $(a^{4} - 2 a^{2} - 1)$
(b) $(a^{4} - a^{2} - 1)$
(c) $(a^{4} - 1)$
(d) $(a^{4} + 1)$

If X = 1 - a^{2} and Y = 1 - b^{2}, then what is X^{2} + Y^{2} ?

The value of $(a + 1) (a - 1) (a^{2} + 1)$ is $a^{4} - 1$ .

Q. If

a^{4} + \frac{1}{a^{4}} = 322

, find the value of

a^{2} + \frac{1}{a^{2}} .

If $a + \frac{1}{a} = 2,$ Find :

(i) $a^{2} + \frac{1}{a^{2}}$

(ii) $a^{4} + \frac{1}{a^{4}}$

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Tick (✓) the correct answer: (a + 1)(a − 1)(a2 + 1) = ? (a) (a4 − 2a2 − 1) (b) (a4 − a2 − 1) (c) (a4 − 1) (d) (a4 + 1)

(c) (a4 − 1) i a+1a-1a2+1⇒a2 -12a2+1 according to the formula a2-b2 = a+ba-b⇒a2-1a2+1⇒a22-122 according to the formula a2-b2 = a+ba-b⇒a4-1

Tick (✓) the correct answer:
(a + 1)(a − 1)(a² + 1) = ?
(a) (a⁴ − 2a² − 1)
(b) (a⁴ − a² − 1)
(c) (a⁴ − 1)
(d) (a⁴ + 1)