Question

the value of 36*36*36+14*14*14/36*36+14*14-36*14​

Answer 1

Answer:

Step-by-step explanation:

Answer=50

Answer 2

The answer is 50

Given

$\frac{36 X 36 X 36 + 14 X 14 X 14}{36 X 36 X + 14 X 14 - 36X14}$

To Find

The value

Solution

$\frac{36 X 36 X 36 + 14 X 14 X 14}{36 X 36 X + 14 X 14 - 36X14}$

Here changing the expression into exponential form and rearranging the expression we get

$\frac{36 ^{3} + 14^3}{36^2 - 36X14 + 14^2 }$

Now we can use the formula a³ + b³ = (a + b)(a² - ab + b²) on the numerator we get,

$\frac{(36 + 14)(36^2 - 36X14 + 14^2)}{36^2 - 36X14 + 14^2 }$

Now we can see that the factor (36² - 36 X 14 + 14²) is common for both the numerator and denominator. Hence we will cancel that to get

= 36 + 14

= 50

Therefore, the answer is 50

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