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

Expand : ( 5x - 3y - 2 )²

Sum

( 5x - 3y - 2 )²= (5x)² + (3y)² + (2)² - 2(5x)(3y) + 2(3y)(2) - 2(2)(5x)

= 25x² + 9y² + 4 - 30xy + 12y - 20x

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Expansion of Formula

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Chapter 4: Expansions (Including Substitution) - Exercise 4 (C) [Page 62]

Chapter 4 Expansions (Including Substitution)
Exercise 4 (C) | Q 3.4 | Page 62

Expand : `( 3a + 2/b )( 2a - 3/b )`

If a + b + c = 12 and a² + b² + c² = 50; find ab + bc + ca.

If a² + b² + c² = 50 and ab + bc + ca = 47, find a + b + c.

If a + `1/a` = m and a ≠ 0 ; find in terms of 'm'; the value of :
`a - 1/a`

If x > 0 and `x^2 + 1/[9x^2] = 25/36, "Find" x^3 + 1/[27x^3]`

If 2( x² + 1 ) = 5x, find :
(i) `x - 1/x`

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

The difference between two positive numbers is 4 and the difference between their cubes is 316.
Find : Their product

If `(x^2 + 1)/x = 3 1/3` and x > 1; find If `x^3 - 1/x^3`

If 3a + 5b + 4c = 0, show that : 27a³ + 125b³ + 64c³ = 180 abc

If x = `1/( x - 5 ) "and x ≠ 5. Find" : x^2 - 1/x^2`