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101.

`(a^(2) - b^(2))/(a-b) = "_______"`A. a + bB. a - bC. `a^(2) + b^(2)`D. `(a - b)^(2)`

Answer» Correct Answer - A
`(a^(2) - b^(2))/(a-b) = ((a+b) (a-b))/(a-b) = a + b`
Hence , the correct option is (a) .
Discussion
102.

`sqrt((256a^(4)b^(4))/(625a^(2)b^(2))) = "_______"`A. `(16b)/(25a^(2))`B. `(16b)/(25a)`C. `(4b)/(25a)`D. `(4b^(2))/(25a)`

Answer» Correct Answer - B
`sqrt((256a^(4) b^(4))/(625 a^(6)b^(2))) = sqrt(((16)^(2)b^(2))/((25)^(2)a^(2))) = (16b)/(25a)`
Hence , the correct option is (b) .
Discussion
103.

If `36a^(2) + (1)/(4a^(2)) = 31` , then find the value (s) of `6a - (1)/(2a)`.

Answer» Correct Answer - `pm` 5
Discussion
104.

If `x - (1)/(x) = 2 ` , then find `x^(4) + (1)/(x^(4))`.

Answer» Correct Answer - 34
Discussion
105.

Factorise the following : `a^(4) - a - a^(2) -1 `

Answer» Correct Answer - `(a + 1) [a^(3) - a^(2) -1]`
Discussion
106.

`(a^(2) - 1) + (a - 1) = a+ 1`

Answer» Correct Answer - True
Discussion
107.

`5x^(2) ( x - y) = "_______"`

Answer» Correct Answer - `5x^(3) - 5x^(2) y`
Discussion
108.

If a + b = 6 and `a^(2) - b^(2) = 24` , then `a - b = 4`.

Answer» Correct Answer - True
Discussion
109.

The constant term in the product of `(5x^(2) - 7x + 4) (7x - 8)` is 12.

Answer» Correct Answer - False
Discussion
110.

If A = `3x^(2) + 2x - 7` and B = `7x^(3) - 3x + 4` , then find : A - B

Answer» Correct Answer - `-7x^(3) + 3x^(2) + 5 x -11 `
Discussion
111.

What should be subtracted from `x^(3) - 7x^(2) + 17x + 17` so that the difference is a multiple of `x-3` ?

Answer» Let k be subtracted .
`implies 32 - k = 0`
`therefore` k = 32
Discussion
112.

Subtract 8p-5q + 7r from 5p- 9q + 3r.

Answer» `({:(5p-9q + 3r) , (-(8p-5q+7r)):}/(-3p-4q-4r))/`
`therefore` The required difference is `-3p - 4q - 4r`.
Discussion