Evaluate : (A+B) (A−B) (A2+B2)

Evaluate : (a+b) (a−b) (a²+b²)

Sum

(a+b) (a−b) (a²+b²)

= (a²−b²) (a²+b²)

= (a²)²− (b²)²

= a⁴ − b⁴

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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 3.2 | Page 150

Evaluate : (2a−b) (2a+b) (4a²+b²)

Use the product (a + b) (a – b) = a² – b² to evaluate:
9.8 x 10.2

Use the product (a + b) (a – b) = a² – b² to evaluate:
7.7 x 8.3

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

Evaluate : `("a"/(2"b")+(2"b")/"a")("a"/(2"b")-(2"b")/"a")`

Evaluate : `(3"x"-1/(2"y"))(3"x"+1/(2"y"))`

Evaluate: (2a + 3) (2a − 3) (4a² + 9)

Evaluate : (9a − 7b) (3a − b)

Evaluate: (3a² − 4b²) (8a² − 3b²)

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