5. From the sum of 4b2 + 5bc, -2b2 - 2bc - 2z2 and 2bc + 4c2, subtract the sum of 562 - c2 and 362 + 2bc + c2.
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Given :- From the sum of 4b2 + 5bc, -2b2 - 2bc - 2z2 and 2bc + 4c2, subtract the sum of 562 - c2 and 362 + 2bc + c2. ?
Answer :-
→ sum = (4b² + 5bc) + (-2b² - 2bc - 2z²) + (2bc + 4c²)
→ sum = 4b² - 2b² + 5bc - 2bc + 2bc - 2z² + 4c²
→ sum = 2b² + 5bc - 2z² + 4c²
similarly,
→ sum = (5b² - c²) + (3b² + 2bc + c²)
→ sum = 5b² + 3b² - c² + c² + 2bc
→ sum = 8b² + 2bc .
now,
→ from sum of first subtracting second sum we get = (2b² + 5bc - 2z² + 4c²) - (8b² + 2bc) = 2b² - 8b² + 5bc - 2bc - 2z² + 4c² = (-6b²) + 3bc - 2z² + 4c² = (4c² - 6b² - 2z² + 3bc)
Learn more :-
JEE mains Question :-
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. Find all the zeroes of the polynomial x4
– 5x3 + 2x2+10x-8, if two of its zeroes are 4 and 1.
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