Math, asked by Khushipaikra, 11 months ago

If A=7x²+5xy -9y²,B = 4x²+xy +5y² and C = 4y²-3x²- 6xy then show that A+B+C=O.​

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Answered by rishu6845
13

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Answered by Anonymous
7

\huge{\colorbox{pink}{\color{red}{Question:}}}

If A = 7x² +5xy -9y²,B = 4x² +xy + 5y² and C = 4y² -3x² - 6xy then show that A + B + C = 0.

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\huge{\colorbox{yellow}{\color{green}{Answer:}}}

A = 7x² +5xy -9y²

B = 4x² +xy + 5y²

C = 4y² -3x² - 6xy

\bold{ (7x² +5xy -9y²) + (4x² +xy + 5y²) + (4y² -3x² - 6xy) }

\bold{ = 7x² + 5xy -9y² - 4x² + xy + 5y² - 4y² -3x² - 6xy }

\bf{ = (7 - 4 - 3)x² + (5 + 1 - 6)xy + (-9 + 5 - 4)y² }

\bf{ = (0)x² + (0)xy + (0)y² }

\bf{ = 0}

\large\purple{\sf{Hence~proved!}}

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