Use Property to Evaluate : 73 + 33 + (-10)3

Use property to evaluate : 7³ + 3³ + (-10)³

Sum

Property is if a + b + c = 0 then a³+ b³+ c³= 3abc
a = 7, b = 3, c = -10
7³ + 3³ + (-10)³= 3(7)(3)(-10) = -630

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Chapter 4: Expansions (Including Substitution) - Exercise 4 (B) [Page 60]

Chapter 4 Expansions (Including Substitution)
Exercise 4 (B) | Q 8.2 | Page 60

Expand.

`(x + 1/x)^3`

If `a^2 + 1/a^2` = 18; a ≠ 0 find :

(i) `a - 1/a`

(ii) `a^3 - 1/a^3`

Expand : (3x + 5y + 2z) (3x - 5y + 2z)

If a ≠ 0 and `a- 1/a` = 3 ; Find :
`a^3 - 1/a^3`

If X ≠ 0 and X + `1/"X"` = 2 ; then show that :

`x^2 + 1/x^2 = x^3 + 1/x^3 = x^4 + 1/x^4`

If `3x - (1)/(3x) = 9`; find the value of `27x^3 - (1)/(27x^3)`.

If `x^2 + (1)/x^2 = 18`; find : `x^3 - (1)/x^3`

If a + b = 5 and ab = 2, find a³+ b³.

Evaluate the following :
(8.12)³ - (3.12)³

Find the volume of the cube whose side is (x + 1) cm