If 2x - 1/2x = 4, find: (i) 4x^2 + 1/4x^2 (ii) 8^3 - 1/8x^3

Question

KnowledgeBoat · Accepted Answer

(i) Using the formula, [∵ (x \- y)² = x² \- 2xy \+ y²] So, Putting the value ,we get Hence, the value of is 18. (ii) Using the formula, [∵ (x \- y)³ = x³ \- 3xy(x \- y) \- y³] So, Putting Hence, the value of = 76.

Mathematics

If 2x - 1/2x = 4, find: (i) 4x^2 + 1/4x^2 (ii) 8^3 - 1/8x^3

Identities

Related Questions

The sum of the squares of two numbers is 13 and their product is 6. Find :
(i) the sum of the two numbers.
(ii) the difference between them.

Mathematics

If 2x - 1/2x = 4, find: (i) 4x^2 + 1/4x^2 (ii) 8^3 - 1/8x^3

Identities

Related Questions

The sum of the squares of two numbers is 13 and their product is 6. Find :(i) the sum of the two numbers.(ii) the difference between them.

The sum of the squares of two numbers is 13 and their product is 6. Find :
(i) the sum of the two numbers.
(ii) the difference between them.