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

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 )

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(ii) `x - 1/x`

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

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

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Using suitable identity, evaluate (97)³

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Evaluate :
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