please say the answer for these questions correctly!! i give 90 points
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Ans 3 :-
Given that the value of the sum of x and y is 12 and the product of the terms x and y is 14.
Using this identity becomes, Substitute x + y = 12 and xy = 14
In the above expansion, we get, Therefore, the value of is equal to 116
Ans 2 :-
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1. As, the bases are equal.
2-x = 3[ 2/3 ÷ -1/3]
2-x = 3[ 2/3 x -3]
2-x = 3[-2]
2-x = -6
-x = -6-2
-x = -8
2. 4x²+ 9y²- 25z² + 12xy
= (2x)² + (3y)² - (5z)² + 2(2x)(3y)
= (2x)² + 2(2x)(3y) + (3y)² - (5z)²
= (2x + 3y)² - (5z)²
∴(2x + 3y + 5z)(2x + 3y - 5z)
3.Given, x+y=12 and xy=14
x+y=12
Squaring both sides, we get,
(x+y)² = 12²
=>x²+ y² +2xy=144
=>x² +y² +2(14)=144
=>x² + y² =144−28
=>x2 + y² =116
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