Expand : ( 3a + 2/B )( 2a - 3/B ) - Mathematics

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

Sum

`( 3a + 2/b )( 2a - 3/b) = (3a)(2a) + ( 2/b )(2a) - (3/b)(3a) - (2/b)(3/b)`

= `6a^2 + ( 4/b - 9/b )a - 6/b^2`

= `6a^2 + (-5/b)a - 6/b^2`

= `6a^2 - [5a]/b - 6/b^2`

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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 2.2 | Page 62

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

Expand : ( x - 2y + 2 )²

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`[( x + 2y )^2]/(xy) + [(2y + 3z)^2]/(yz) + [(3z + x)^2]/(zx)`

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

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

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(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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The sum of two numbers is 7 and the sum of their cubes is 133, find the sum of their square.