Factorize:

$a^3{\left(b-c\right)}^3+b^3{\left(c-a\right)}^3+c^3{\left(a-b\right)}^3$

Important Questions on Factorisation of Polynomials

EASY

9th CBSE

IMPORTANT

Secondary School Mathematics FOR CLASS 9>Chapter 3 - Factorisation of Polynomials>EXERCISE 3G>Q 22

Evaluate: ${\left(-12\right)}^3+7^3+5^3$

 

EASY

9th CBSE

IMPORTANT

Secondary School Mathematics FOR CLASS 9>Chapter 3 - Factorisation of Polynomials>EXERCISE 3G>Q 22

Evaluate: ${\left(28\right)}^3+{\left(-15\right)}^3+{\left(-13\right)}^3$

 

EASY

9th CBSE

IMPORTANT

Secondary School Mathematics FOR CLASS 9>Chapter 3 - Factorisation of Polynomials>EXERCISE 3G>Q 23

Prove that ${\left(a+b+c\right)}^3-a^3-b^3-c^3=3\left(a+b\right)\left(b+c\right)\left(c+a\right)$

MEDIUM

9th CBSE

IMPORTANT

Secondary School Mathematics FOR CLASS 9>Chapter 3 - Factorisation of Polynomials>EXERCISE 3G>Q 24

If $a, b, c$ are all non-zero and $a+b+c=0,$ prove that $\frac{a^2}{bc}+\frac{b^2}{ca}+\frac{c^2}{ab}=3$

MEDIUM

9th CBSE

IMPORTANT

Secondary School Mathematics FOR CLASS 9>Chapter 3 - Factorisation of Polynomials>EXERCISE 3G>Q 25

If $a+b+c=9$ and $a^2+b^2+c^2=35$, find the value of $\left(a^3+b^3+c^3-3abc\right)$.

EASY

9th CBSE

IMPORTANT

Secondary School Mathematics FOR CLASS 9>Chapter 3 - Factorisation of Polynomials>MULTIPLE-CHOICE QUESTIONS (MCQ)>Q 1

If $\left(x+1\right)$ is a factor of the polynomial $\left(2x^2+kx\right)$, then the value of $k$ is

EASY

9th CBSE

IMPORTANT

Secondary School Mathematics FOR CLASS 9>Chapter 3 - Factorisation of Polynomials>MULTIPLE-CHOICE QUESTIONS (MCQ)>Q 2

The value of $(249{)}^2-(248{)}^2$ is

EASY

9th CBSE

IMPORTANT

Secondary School Mathematics FOR CLASS 9>Chapter 3 - Factorisation of Polynomials>MULTIPLE-CHOICE QUESTIONS (MCQ)>Q 3

If $\frac{x}{y}+\frac{y}{x}=-1$, where $x,y\ne 0$ then the value of $\left(x^3-y^3\right)$ is