Question

answer the question ..also include the steps​

Answer 1

Answer:

8

Step-by-step explanation:

(x+y)

3

−(x−y)

3

−6y(x

2

−y

2

)=ky

3

⇒ [(x+y)

3

−(x−y)

3

]−6y(x

2

−y

2

)=ky

1. 3

We know, a

3

−b

3

=(a−b)(a

2

+ab+b

2

)

⇒ 2y(x

2

+2xy+y

2

+x

2

−y

2

−x

2

−2xy+y

2

)−6y(x

2

−y

2

)=ky

3

⇒ 2y(3x

2

+y

2

)−6y(x

2

−y

2

)=ky

3

⇒ 6x

2

y+2y

3

−6x

2

y+6y

3

=ky

3

⇒ 8y

3

=ky

3

∴ k=8