1.

If the sum and the product of two numbers are 8 and 15 respectively, find the sum oftheir cubes​

Answer»

Answer :

Sum of cubes of the two numbers is 152 .

Solution :

Let the two numbers be X and y .

Here ,

It is given that , the sum and the product of the two numbers are 8 and 15 respectively .

Thus ,

x + y = 8

XY = 15

Here ,

We need to find the sum of cubes of the two numbers , ie. x³ + y³ .

Now ,

We know that ;

=> (x + y)³ = x³ + y³ + 3XY(x + y)

=> 8³ = x³ + y³ + 3•15•8

=> 512 = x³ + y³ + 360

=> x³ + y³ = 512 - 360

=> x³ + y³ = 152

Hence ,

Sum of cubes of the two numbers is 152 .


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