Factorise `y^(2) + 2xy + 2 xz - z^(2)` .A. `( x - y + z) ( y + z)`B. `(x + y + z) ( y-z ) `C. `(y-z) ( y + z + 2x)`D. `( y + z) ( y - z + 2x)`

Factorise `y^(2) + 2xy + 2 xz - z^(2)` .A. `( x - y + z) ( y + z)`B. `

1.	Factorise `y^(2) + 2xy + 2 xz - z^(2)` .A. `( x - y + z) ( y + z)`B. `(x + y + z) ( y-z ) `C. `(y-z) ( y + z + 2x)`D. `( y + z) ( y - z + 2x)`
Answer» Correct Answer - D `y^(2) + 2xy + 2xz - z^(2)` `= y^(2) - z^(2) + 2xy + 2xz` `= ( y + z) (y-z) + 2x (y +z)` `= (y + z) ( y - z + 2x)`. Hence , the correct option is (d) .

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)`