Math, asked by mittuhere515, 18 days ago

verify x³ + y³ = (X + y) (x² -xy + y²)

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Answers

Answered by llItzDishantll
46

\huge{\underbrace{\mathfrak{\green{Answer}}}}

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Answered by Anonymous
37

Answer

To Do

  • To verify that x³ + y³ = (x + y) (x² - xy + y²)

Step By Step Explanation

In this we need to verify that x³ + y³ = (x + y) (x² - xy + y²)

Let's solve the L.H.S. and R.H.S. part of the equation to verify. So let's do it !!

L. H. S.

\longmapsto\bf  {\green{{x}^{3}  +  {y}^{3}}}

R. H. S.

\longmapsto\tt (x + y)( {x}^{2}  +  {y}^{2}  - xy) \\  \\\longmapsto\tt x( {x}^{2}  +  {y}^{2}  - xy) + y( {x}^{2}  +  {y}^{2}  - xy) \\  \\\longmapsto\tt {x}^{3} +  \cancel{x{y}^{2}}  \cancel{ -  {x}^{2}y}+  \cancel {{x}^{2}y} +  {y}^{3}   \cancel{ - x {y}^{2}} \\  \\\longmapsto\bf {\pink{{x}^{3}  +  {y}^{3}}}

x³ + y³ = x³ + y³

L.H.S. = R.H.S.

Hence, proved.

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