Evaluate : (A+1) (A-1) (A2+1)

Evaluate : (a+1) (a-1) (a²+1)

Sum

(a+1) (a-1) (a²+1)

= [(a)²−(1)²] (a²+1)

= (a²−1) (a²+1)

= (a²)² − (1)²

= a⁴ − 1

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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 3.1 | Page 150

Evaluate : (a+b) (a−b) (a²+b²)

Evaluate : (3−2x) (3+2x) (9+4x²)

Evaluate : (3x−4y) (3x+4y) (9x²+16y²)

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:
4.6 x 5.4

Evaluate: (6 – xy) (6 + xy)

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

Evaluate: (2a + 3) (2a − 3) (4a² + 9)

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

Evaluate : (5x + 8y) (3x + 5y)