If a? + b2 = 10, ab = 4, find the value of 3 (a + b)2 - 2 (a - b)?
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0
Answer:
40
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1
Answer:
( a+ b)^2 = a^2 + b^2 + 2ab
put the values we get
(a+b )^2 = 10 + 2×4.
a+b = √18
now (a-b)^2 = a^2 +b^2 -2ab
( a-b)^2 = 10 - 2×4
a-b. = √2
now 3(a+b)2 -2(a-b). = (3 ×√18 ×2 ) -( 2 ×√2). = 18√2 - 2√2. = 16√2.
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