Use Property to Evaluate : 93 - 53 - 43

Use property to evaluate : 9³ - 5³ - 4³

Sum

Property is if a + b + c = 0 then a³+ b³+ c³= 3abc
a = 9, b = -5, c = -4
9³ - 5³ - 4³= 9³ + (-5)³ + (-4)³= 3(9)(-5)(-4) = 540

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

Chapter 4 Expansions
Exercise 4 (B) | Q 8.3 | Page 60

Expand.

(7x + 8y)³

Expand.

`(x + 1/x)^3`

Find the cube of : 5a + 3b

Use property to evaluate : 7³ + 3³ + (-10)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 `"a" - (1)/"a" = 7`, find `"a"^2 + (1)/"a"^2 , "a"^2 - (1)/"a"^2` and `"a"^3 - (1)/"a"^3`

If `"p" + (1)/"p" = 6`; find : `"p"^3 + (1)/"p"^3`

If 2a - 3b = 10 and ab = 16; find the value of 8a³ - 27b³.

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

If `"a" + 1/"a"` = 6, then find the value of `"a"^3 + 1/"a"^3`