Question

Find the value of:
45^3-65^3+20^3
Please tell it correctly.
please please please please please ​

Answer 1

Step-by-step explanation:

${45}^{3} - {65}^{3} + {20}^{3}$

We use the this formula here,

${a}^{3} + {b}^{3} + {c}^{3} - 3abc = (a + b + c)( {a}^{2} + {b}^{2} + {c}^{2} - ab - bc - ca)$

In this case , let a = 45

b = - 65

c = 20

Also, we can notice that ,

a + b + c = 0

In that case , the formula becomes,

${a}^{3} + {b}^{3} + {c}^{3} = 3abc$

${45}^{3} + ( { - 65)}^{3} + {20}^{3} = 3 \times 45 \times ( - 65) \times 20$

$= - 175500$

Therefore, it is your answer.

I hope it helps you. If you have any doubts, then don't hesitate to ask.