Simplify Using Following Identity : ( a +- B )(A^2 +- Ab + B^2) = A^3 +- B^3 ( 2x + 3y )( 4x2 + 6xy + 9y2 )

Simplify using following identity : `( a +- b )(a^2 +- ab + b^2) = a^3 +- b^3`
( 2x + 3y )( 4x² + 6xy + 9y²)

Sum

( 2x + 3y )( 4x² + 6xy + 9y²)
= ( 2x + 3y )[ (2x)² - (2x)(3y) + (3y)²]
= (2x)³ + (3y)³
= 8x³ + 27y³

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Chapter 4: Expansions (Including Substitution) - Exercise 4 (E) [Page 66]

Chapter 4 Expansions (Including Substitution)
Exercise 4 (E) | Q 2.1 | Page 66

Simplify : ( x + 6 )( x + 4 )( x - 2 )

Simplify : ( x - 6 )( x - 4 )( x + 2 )

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`( 3x - 5/x )( 9x^2 + 15 + 25/x^2)`

Simplify using following identity : `( a +- b )(a^2 +- ab + b^2) = a^3 +- b^3`
`(a/3 - 3b)(a^2/9 + ab + 9b^2)`

Find : (a - b)(a - b)(a - b)

If a + b = 11 and a² + b² = 65; find a³ + b³.

Using suitable identity, evaluate (104)³

Using suitable identity, evaluate (97)³

Simplify :
`[(x^2 - y^2)^3 + (y^2 - z^2)^3 + (z^2 - x^2)^3]/[(x - y)^3 + (y - z)^3 + (z - x)^3]`

Evaluate :
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