If $a^2+b^2+c^2-ab-bc-ca=0$, then

Important Questions on Algebraic Identities

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 4 - Algebraic Identities>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 20

If $a+b+c=0$, then $\frac{a^2}{bc}+\frac{b^2}{ca}+\frac{c^2}{ab}=$

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 4 - Algebraic Identities>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 21

If $a^{\frac{1}{3}}+b^{\frac{1}{3}}+c^{\frac{1}{3}}=0$, then

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 4 - Algebraic Identities>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 22

If $a+b+c=9$ and $ab+bc+ca=23$, then $a^3+b^3+c^3-3abc=$

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 4 - Algebraic Identities>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 23

Simplify $\frac{{\left(a^2-b^2\right)}^3+{\left(b^2-c^2\right)}^3+{\left(c^2-a^2\right)}^3}{(a-b{)}^3+(b-c{)}^3+(c-a{)}^3}$

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 4 - Algebraic Identities>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 24

The product $(a+b)(a-b)\left(a^2-ab+b^2\right)\left(a^2+ab+b^2\right)$ is equal to

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 4 - Algebraic Identities>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 25

The product $\left(x^2-1\right)\left(x^4+x^2+1\right)$ is equal to

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 4 - Algebraic Identities>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 26

If $\frac{a}{b}+\frac{b}{a}=1$, then $a^3+b^3=$

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 4 - Algebraic Identities>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 27

If $49a^2-b=\left(7a+\frac{1}{2}\right)\left(7a-\frac{1}{2}\right)$, then the value of $b$ is