If x + y = 7 and xy = 2 , then `x^*(2) - y^(2) = "_________" (x gt y)`A. `7sqrt(46)`B. `7sqrt(44)`C. `7sqrt(41)`D. `7sqrt(43)`

If x + y = 7 and xy = 2 , then `x^*(2) - y^(2) = "_________" (x gt y)`

1.	If x + y = 7 and xy = 2 , then `x^*(2) - y^(2) = "_________" (x gt y)`A. `7sqrt(46)`B. `7sqrt(44)`C. `7sqrt(41)`D. `7sqrt(43)`
Answer» Correct Answer - C Given , x + y = 7 , and xy = 2 . `x- y = sqrt((x+y)^(2) - 4xy)` =` sqrt(7^(2) - 4(2)) = sqrt(41)` Now , `x^(2) - y^(2) = ( x + y) (x - y)` `7 sqrt(41)` Hence , the correct option is (c) .

Which of the following is/are perfect squares ?A. `16a^(2) + 36b^(2) - 48 ab`B. `9x^(2) + 18xy + 9y^(2)`C. Both (a) and (b)D. Neither (a) nor (b)
If `a + (1)/(a) = 6` , then find `a^(4) + (1)/(a^(4))`.
Find the product of (3a + 4b) and (3a - 4b) and verify it when a = -1 and b = 1 .
If `3x + (1)/(x) = 6` , then find `9x^(2) + (1)/(x^(2))`.A. 24B. 27C. 30D. 33
Divide `(a^(4) - b^(4))` by a - b and find the quotient and remainder .
Divide `18x^(4) - 27 x^(3) + 6x` by 3x.
`x^(3) + xy^(2) - x^(2) y - y^(3) = "_______"`A. `(x^(2) + y^(2)) (x + y)`B. `(x^(2) + y^(2))( x- y)`C. `(x-y) (x + y)^(2)`D. `(x + y) (x- y)^(2)`
An equation which is true for all real values of its variables is called an identify .
Zero of `3x - (3)/(2)` is `"________"`A. `(3)/(2)`B. `(2)/(3)`C. `(1)/(2)`D. `(1)/(2)`
`x^(4) + y^(4) + 2x^(2)y^(2) = "_______"`A. `(x+ y)^(4)`B. `(x^(2) - y^(2))^(2)`C. `(x^(2) + y^(2)) (x^(2) - y^(2))`D. `(x^(2) + y^(2))^(2)`