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Answer:
Given :-
P = 7x² + 5xy - 9y²
Q = 4y² - 3x² - 6xy
R = -4x² + xy + 5y²
To Show :-
P + Q + R = 0
SoluTion :-
Add P , Q and R.
RHS :-
• 7x² + 5xy - 9y² + (4y² - 3x² - 6xy) + (-4x² + xy + 5y²)
→ 7x² + 5xy - 9y² + 4y² - 3x² - 6xy - 4x² + xy + 5y²
→ 7x² - 3x² - 4x² - 9y² + 4y² + 5y² + 5xy - 6xy + xy
[ re arrange the like terms ]
→ 4x² - 4x² - 9y² + 9y² + 5xy - 5xy
→ 0 = LHS
Hence, P + Q + R = 0
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