MATHEMATICS Textbook for Class IX>Chapter 2 - Polynomials>EXERCISE>Q 13

MEDIUM

9th Madhya Pradesh Board

IMPORTANT

Earn 100

If $x + y + z = 0,$ Show that $x^{3} + y^{3} + z^{3} = 3 x y z$ .

Important Questions on Polynomials

MEDIUM

9th Madhya Pradesh Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 2 - Polynomials>EXERCISE>Q 14

Without actually calculating the cubes, find the value of the following:

{(- 12)}^{3} + {(7)}^{3} + {(5)}^{3}

.

MEDIUM

9th Madhya Pradesh Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 2 - Polynomials>EXERCISE>Q 14

Without actually calculating the cubes, find the value of the following:

{(28)}^{3} + {(- 15)}^{3} + {(- 13)}^{3}

.

MEDIUM

9th Madhya Pradesh Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 2 - Polynomials>EXERCISE>Q 15

Give possible expressions for the length and breadth of the following rectangle, in which the area is given as:

25 a^{2} - 35 a + 12

.

MEDIUM

9th Madhya Pradesh Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 2 - Polynomials>EXERCISE>Q 15

Give possible expressions for the length and breadth of the following rectangle, in which the area is given:

35 y^{2} + 13 y - 12

.

MEDIUM

9th Madhya Pradesh Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 2 - Polynomials>EXERCISE>Q 16

What are the possible expressions for the dimension of the cuboids whose volume is given below?

Volume

= 3 x^{2} - 12 x

.

MEDIUM

9th Madhya Pradesh Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 2 - Polynomials>EXERCISE>Q 16

What are the possible expressions for the dimension of the cuboids whose volume is given below?

Volume

= 12 k y^{2} + 8 k y - 20 k

.