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

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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 3.3 | Page 62

If a² + b² + c² = 35 and ab + bc + ca = 23; find a + b + c.

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

In the expansion of (2x² - 8) (x - 4)²; find the value of coefficient of x³.

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

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

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

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

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If x² + `x^(1/2)`= 7 and x ≠ 0; find the value of:
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Find : Their product

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

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