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vredina [299]
3 years ago
15

What is the form of the Difference of Cubes identity?

Mathematics
2 answers:
Scilla [17]3 years ago
5 0
The answer is D. I hope this is right.
scoray [572]3 years ago
4 0

Solution:

The difference of cubes identity is

if a and b are any two real numbers, then difference of their cubes , when taken individually:

→a³ - b³= (a-b)(a² + a b + b²)→→→Option (D) is true option.

I will show you , how this identity is valid.

Taking R H S

(a-b)(a² +b²+ab)

= a (a² +b²+ab)-b(a² +b²+ab)

= a³ + a b² +a²b -b a² -b³ -ab²

Cancelling  like terms , we get

= a³ - b³

= L H S



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