Evaluate : (3x−4y) (3x+4y) (9x2+16y2)

Evaluate : (3x−4y) (3x+4y) (9x²+16y²)

Sum

(3x−4y) (3x+4y) (9x²+16y²)

= [(3x)²−(4y)²] (9x²+16y²)

= (9x²−16y²) (9x²+16y²)

= (9x²)² − (16y²)²

= 81x⁴ − 256y⁴

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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 3.5 | Page 150

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:
7.7 x 8.3

Evaluate : `(7"x"+2/3"y")(7"x"-2/3"y")`

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

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

Evaluate : (7x + 15y) (5x − 4y)

Evaluate: (a² + 5) (a² − 3)

Evaluate: (3x + 4y) (3x − 4y) (9x² + 16y²)

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