Question

Find the value:

\(\frac{{{{(3.5)}^3} + .125}}{{{{(3.5)}^2} - 1.75 + .25}}\) = ?

1. 4
2. 1/4
3. 9
4. 1/9

Answer 1

Correct Answer - Option 1 : 4

GIven:

\(\frac{{{{(3.5)}^3} + .125}}{{{{(3.5)}^2} - 1.75 + .25}}\)

Concept used:

a³ + b³ = (a + b)(a² - ab + b²)

Calculation:

\(\frac{{{{(3.5)}^3} + .125}}{{{{(3.5)}^2} - 1.75 + .25}}\)

Here,

a = 3.5

b = 0.5

⇒ {(a)³ + (b)³}/(a + b)(a2 - ab + b2)

⇒ {(a + b)(a2 - ab + b2)}/(a2 - ab + b2)

⇒ a + b

⇒ 3.5 + 0.5

⇒ 4

∴ The value of \(\frac{{{{(3.5)}^3} + .125}}{{{{(3.5)}^2} - 1.75 + .25}}\) is 4.