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Definition of Functions

Using the abo...

Question

Using the above pattern, find the value of the following:
(i) $52^{3} - 51^{3}$
(ii) $19^{3} - 18^{3}$

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Solution

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Similar questions

Q. Find the values of the following:

(1) 11³
(2) (–5)²
(3) (–3)³
(4) 10⁷
(5) 2⁴
(6)

{(\frac{2}{3})}^{5}

{(- \frac{1}{5})}^{4}

(8) 2⁸
(9) (–1)⁸
(10) (–1)⁹

Q. Observe the following pattern:
1³ = 1
1³ + 2³ = (1 + 2)²
1³ + 2³ + 3³ = (1 + 2 + 3)²
Write the next three rows and calculate the value of 1³ + 2³+ 3³ + ... + 9³+ 10³ by the above pattern.

Q. Find the value using formula :
(i)

(1)^{3}

(2)^{3}

(8)^{3}

(15)^{3}

(19)^{3}

(15)^{3}

Find the value of the following using multiplication pattern.

$29 \times 31$

x = (16^{3} + 17^{3} + 18^{3} + 19^{3})

, then x divided by

70

leaves a remainder of.

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