Question

use property to evaluate
7³ + 3³ +(-10)³​

Answer 1

Answer:

7³ + 3³ + ( -10)³

343 +27 + 1000

1370

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Answer 2

Answer:

The answer is -630

Step-by-step explanation:

To evaluate 7^3 + 3^3 + (-10)^3 through property

Step 1 =

As we know that if a + b + c = 0

Then a^3 + b^3 + c^3 = 3abc

Step 2 = We have to follow the above step

Similarly,

7^3 + 3^3 + (-10)^3 = 3abc

where a = 7, b = 3, c = -10

L.H.S = 7^3 + 3^3 + (-10)^3

R.H.S = 3abc

         = 3(7)(3)(-10)

         = 21 X -30

         = -630

NOW, equate L.H.S AND R.H.S

7^3 + 3^3 + (-10)^3[L.H.S] = -630[R.H.S]