Expand : ( 5a - 3b + C )2 - Mathematics

Expand : ( 5a - 3b + c )²

Sum

( 5a - 3b + c)² = (5a)² + (3b)² + (c)² - 2(5a)(3b) - 2(3b)(c) + 2(c)(5a)

= 25a² + 9b² + c² - 30ab - 6bc + 10ca

shaalaa.com

Expansion of Formula

Is there an error in this question or solution?

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

Chapter 4 Expansions (Including Substitution)
Exercise 4 (C) | Q 3.3 | Page 62

Expand : ( x - 8 )( x - 10 )

Expand : ( 5x - 3y - 2 )²

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

If x + 2y + 3z = 0 and x³ + 4y³ + 9z³ = 18xyz ; evaluate :
`[( x + 2y )^2]/(xy) + [(2y + 3z)^2]/(yz) + [(3z + x)^2]/(zx)`

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

The difference between two positive numbers is 4 and the difference between their cubes is 316.
Find : The sum of their squares

Find the value of 'a': 4x² + ax + 9 = (2x - 3)²

Find the value of 'a': 9x² + (7a - 5)x + 25 = (3x + 5)²

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

If x = `1/[ 5 - x ] "and x ≠ 5 find "x^3 + 1/x^3`