SSLC (English Medium) Class 9 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

Expand the following:

(3a + 1) (3a – 2) (3a + 4)

Using algebraic identity, find the coefficients of x², x and constant term without actual expansion

(x + 5)(x + 6)(x + 7)

Using algebraic identity, find the coefficients of x², x and constant term without actual expansion

(2x + 3)(2x – 5)(2x – 6)

Evaluate the following by using identities:

98³

Evaluate the following by using identities:

1001³

If (x + y + z) = 9 and (xy + yz + zx) = 26, then find the value of x² + y² + z² 

Simplify: (2a + 3b + 4c) (4a² + 9b² + 16c² – 6ab – 12bc – 8ca)

Simplify: (x – 2y + 3z) (x² + 4y² + 9z² + 2xy + 6yz – 3xz)

By using identity evaluate the following:

7³ – 10³ + 3³ 

By using identity evaluate the following:

`1 + 1/8 - 27/8`

If 2x – 3y – 4z = 0, then find 8x³ – 27y³ – 64z³ 

Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:

Simplify the following using addition and subtraction properties of surds:

`5sqrt(3) + 18sqrt(3) - 2sqrt(3)`

Simplify the following using addition and subtraction properties of surds: 

`4root(3)(5) + 2root(3)(5) - 3root(3)(5)`

Simplify the following using addition and subtraction properties of surds: 

`3sqrt(75) + 5sqrt(48) - sqrt(243)`

Simplify the following using addition and subtraction properties of surds: 

`5root(3)(40) + 2root(3)(625) - 3root(3)(320)`

Simplify the following using multiplication and division properties of surds:

`sqrt(3) xx sqrt(5) xx sqrt(2)`

Simplify the following using multiplication and division properties of surds:

`sqrt(35) ÷ sqrt(7)`

Simplify the following using multiplication and division properties of surds:

`root(3)(27) xx root(3)(8) xx root(3)(125)`

Simplify the following using multiplication and division properties of surds:

`(7sqrt("a") - 5sqrt("b")) (7sqrt("a") + 5sqrt("b"))`