SSLC (English Medium) Class 10 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

Find the excluded values, of the following expression

`(x^3 - 27)/(x^3 + x^2 - 6x)`

Simplify `(4x^2y)/(2z^2) xx (6xz^3)/(20y^4)`

Simplify `("p"^2 - 10"p" + 21)/("p" - 7) xx ("p"^2 + "p" - 12)/("p" - 3)^2`

Simplify `(5"t"^3)/(4"t" - 8) xx (6"t" - 12)/(10"t")`

Simplify `(x + 4)/(3x + 4y) xx (9x^2 - 16y^2)/(2x^2 + 3x - 20)`

Simplify `(x^3 - y^3)/(3x^2 + 9xy + 6y^2) xx (x^2 + 2xy + y^2)/(x^2 - y^2)`

Simplify `(2"a"^2 + 5"a" + 3)/(2"a"^2 + 7"a" + 6) ÷ ("a"^2 + 6"a" + 5)/(-5"a"^2 - 35"a" - 50)`

Simplify `("b"^2 + 3"b" - 28)/("b"^2 + 4"b" + 4) ÷ ("b"^2 - 49)/("b"^2 - 5"b" - 14)`

Simplify `(x + 2)/(4"y") ÷ (x^2 - x - 6)/(12y^2)`

Simplify `(12"t"^2 - 22"t" + 8)/(3"t") ÷ (3"t"^2 + 2"t" - 8)/(2"t"^2 + 4"t")`

If x = `("a"^2 + 3"a" - 4)/(3"a"^2 - 3)` and y = `("a"^2 + 2"a" - 8)/(2"a"^2 - 2"a" - 4)` find the value of x²y^–2  

If a polynomial p(x) = x² – 5x – 14 is divided by another polynomial q(x) we get `(x - 7)/(x + 2)`, find q(x)

Simplify `(x(x + 1))/(x - 2) + (x(1 - x))/(x - 2)`

Simplify `(x + 2)/(x + 3) + (x - 1)/(x - 2)`

Simplify `(x^3)/(x - y) + (y^3)/(y - x)`

Simplify `((2x + 1)(x - 2))/(x - 4) - ((2x^2 - 5x + 2))/(x - 4)`

Simplify `(4x)/(x^2 - 1) - (x + 1)/(x - 1)`

Subtract `1/(x^2 + 2)` from `(2x^3 + x^2 + 3)/(x^2 + 2)^2`

Identify rational expression should be subtracted from `(x^2 + 6x + 8)/(x^3 + 8)` to get `3/(x^2 - 2x + 4)`

If A = `(2x + 1)/(2x - 1)`, B = `(2x - 1)/(2x + 1)` find `1/("A" - "B") - (2"B")/("A"^2 - "B"^2)`