Question

verify that x cube + y cube is equal to X + Y into x square - xy + Y square

Answer 1

Hope this pic helps you :)

Answer 2

Answer:

The proof is explained step-wise below :

Step-by-step explanation:

To Prove : x³ + y³ = (x + y) · ( x² - x·y + y²)

Proof :

Taking R.H.S

(x + y) · ( x² - x·y + y²)

Now using Distributive law of multiplication over addition. We get ,

⇒ x·( x² - x·y + y²) + y·( x² - x·y + y²)

⇒ x³ - x²y + x·y² + y·x² - x·y² + y³

⇒ x³ + y³

= L.H.S.

Hence Proved.