Simplify `(11x + 3y)^(2) - (11x - 3y)^(2)`.

1.	Simplify `(11x + 3y)^(2) - (11x - 3y)^(2)`.
Answer» Here a = 11 x and b = 3y , by using the identity `(a + b)^(2) - (a-b)^(2) = 4ab ` , we have `(11x + 3y)^(2) - (11x - 3y)^(2) = 4 (11x) (3y) = 132xy. `

Discussion

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)`