Evaluate: (6 – xy) (6 + xy)

Evaluate: (6 – xy) (6 + xy)

Sum

(6 – xy) (6 + xy)

= 6(6 + xy) – xy (6 + xy)

= 36 + 6xy – 6xy + (xy)²

= 36 – x²y²

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Product of Sum and Difference of Two Terms

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Chapter 12: Identities - Exercise 12 (A) [Page 150]

Chapter 12 Identities
Exercise 12 (A) | Q 5.01 | Page 150

Evaluate : (a+b) (a−b) (a²+b²)

Evaluate : (2a−b) (2a+b) (4a²+b²)

Use the product (a + b) (a – b) = a² – b² to evaluate:
21 x 19

Use the product (a + b) (a – b) = a² – b² to evaluate:
33 x 27

Use the product (a + b) (a – b) = a² – b² to evaluate:
103 x 97

Use the product (a + b) (a – b) = a² – b² to evaluate:
4.6 x 5.4

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Evaluate : (a + bc) (a − bc) (a² + b²c²)

Evaluate : (2a − 3b) (3a + 4b)

Evaluate: (4x² − 5y²) (4x² + 5y²)