Question

If a/b = 3/2 then find (3 a³ + b³) / b³ .

Answer 1

a/b=3/2

so, a=3, b=2.rest is in image(putting vale of a and b)

Answer 2

Given,

a/b=3/2

To find,

The value of (3 a³ + b³) / b³

Solution,

In the numerator, we have (3 a³ + b³) while in the denominator we have b³.

IN fraction (3 a³ + b³) / b³  can also be represented as-

⇒   3(a/b)³ + (b/b)³

⇒   3(a/b)³ + 1

 (a/b) value is given to us i.e. 3/2.

⇒   3(3/2)³ + 1

⇒   3(27/8) + 1

⇒   81/8 + 1/1

89/8.

Hence, the value of (3 a³ + b³) / b³  is 89/8.