Question

Simplify (R²-S²)³+(S²-T²)³+(T²-R²)

Answer 1

Answer:

I am Nirmalya Bhadra. I read in class 8.

hope it will help you.

R^6+3R^4S^2+3R^2S^4-3S^4T^2+3S^2T^4-T^6+T^2-R^2

make me your following please.

Answer 2

ANSWER ::

Let

a = (R²-S²), b = (S²-T²), c = (T²-R²)

Then

a+b+c = 0

We know that if a+b+c = 0 then a³ + b³ + c³ = 3abc

Therefore

(R²-S²)³+(S²-T²)³+(T²-R²)³

= 3(R²-S²)(S²-T²)(T²-R²)

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