Question

Solve This Problem

Don't Samping ​

Answer 1

Answer:

Step-by-step explanation:

Rationalizing factor is a factor which when multiplied with the given quantity gives a rational number.

We know that -:

a³-b³ = (a+b)(a²-ab+b²)

Here the rationalizing factor of (a+b) is (a²-ab+b²).

Therefor in this case-:

a = $2^{1/3}$

b = $2^{-1/3}$

Hence the rationalizing factor is =$2^{2/3}-2^{1/3} *2^{-1/3}+2^{-2/3}$

                                                     =$2^{2/3}-1+2^{-2/3}$

Option A is the answer.

Answer 2

Answer:

Step-by-step explanation:

Rationalizing factor is a factor which when multiplied with the given quantity gives a rational number.

We know that -:

a³-b³ = (a+b)(a²-ab+b²)

Here the rationalizing factor of (a+b) is (a²-ab+b²).

Therefor in this case-:

a = 2^{1/3}2

1/3

b = 2^{-1/3}2

−1/3

Hence the rationalizing factor is =2^{2/3}-2^{1/3} *2^{-1/3}+2^{-2/3}2

2/3

−2

1/3

∗2

−1/3

+2

−2/3

=2^{2/3}-1+2^{-2/3}2

2/3

−1+2

−2/3

Option A is the answer.