If (x + y)3 - (x - y)3 - 3y(2x2 -...

Home / Arithmetic Ability / Algebra / Question

Examveda

If (x + y)³ - (x - y)³ - 3y(2x² - 3y²) = ky³, then find the value of k.

A. 10.5

B. 8

C. 11

D. 10

Answer: Option C

Solution (By Examveda Team)

Concept used:
(a + b)³ = a³ + b³ + 3ab(a + b)
(a - b)³ = a³ - b³ - 3ab(a - b)
Calculation:
(x + y)³ - (x - y)³ - 3y(2x² - 3y²) = ky³
⇒ x³ + y³ + 3x²y + 3xy² - x³ + y³ + 3x²y - 3xy² - 6x²y + 9y³ = ky³
⇒ 11y³ = ky³
⇒ k = 11
∴ The value of K is 11

This Question Belongs to Arithmetic Ability >> Algebra

Join The Discussion

Related Questions on Algebra

If a * b = 2a - 3b + ab, then 3 * 5 + 5 * 3 is equal to?

A. 22

B. 24

C. 26

D. 28

View Answer

If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$ then the value of 8 × 2 is?

A. 6

B. 10

C. 14

D. 16

View Answer

The value of $$\left( {{\text{1 + }}\frac{1}{x}} \right)$$ $$\left( {{\text{1 + }}\frac{1}{{x + 1}}} \right)$$ $$\left( {{\text{1 + }}\frac{1}{{x + 2}}} \right)$$ $$\left( {{\text{1 + }}\frac{1}{{x + 3}}} \right)$$ is?

A. $$1 + \frac{1}{{x + 4}}$$

B. x + 4

C. $$\frac{1}{x}$$

D. $$\frac{{x + 4}}{x}$$

View Answer

If $$\frac{a}{b}{\text{ = }}\frac{2}{3}$$ and $$\frac{b}{c}{\text{ = }}\frac{4}{5}{\text{,}}$$ then the ration $$\frac{{a + b}}{{b + c}}$$ equal to?

A. $$\frac{{20}}{{27}}$$

B. $$\frac{{27}}{{20}}$$

C. $$\frac{6}{8}$$

D. $$\frac{8}{6}$$

View Answer

If (x + y)3 - (x - y)3 - 3y(2x2 -...

If (x + y)3 - (x - y)3 - 3y(2x2 - 3y2) = ky3, then find the value of k.

Solution (By Examveda Team)

Join The Discussion

Read More: MCQ Type Questions and Answers

If (x + y)³ - (x - y)³ - 3y(2x² - 3y²) = ky³, then find the value of k.