English Medium Class 9 - CBSE Question Bank Solutions

Factorize the following expressions:

`x^3/216 - 8y^3`

Factorize the following expressions:

10x⁴y – 10xy⁴

In a ΔABC, if ∠A = 55°, ∠B = 40°, find ∠C. 

If the angles of a triangle are in the ratio 1: 2 : 3, determine three angles. 

Factorize the following expressions:

54x⁶y + 2x³y⁴

The angles of a triangle are (x − 40)°, (x − 20)° and `(1/2x-10)^@.` find the value of x 

Factorize the following expressions:

32a³ + 108b³

The angles of a triangle are arranged in ascending order of magnitude. If the difference
between two consecutive angles is 10°, find the three angles. 

Factorize the following expressions:

(a - 2b)³ - 512b³

Two angles of a triangle are equal and the third angle is greater than each of those angles
by 30°. Determine all the angles of the triangle. 

If one angle of a triangle is equal to the sum of the other two, show that the triangle is a
right triangle. 

Factorize the following expressions:

(a + b)³ – 8(a – b)³

Factorize the following expressions: 

( x + 2)³ + ( x - 2)³

Factorize the following expressions:

`8x^2y^3 - x^5`

Factorize the following expressions:

1029 – 3x³

ABC is a triangle in which ∠A — 72°, the internal bisectors of angles B and C meet in O.
Find the magnitude of ∠BOC.

Factorize the following expressions:

x⁶ + y⁶

Factorize the following expressions:

x³y³ + 1

The bisectors of base angles of a triangle cannot enclose a right angle in any case. 

Factorize the following expressions:

x⁴y⁴ - xy