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Viva questions for Physics Class 12
विज्ञान 10 – महत्वपूर्ण MCQs
Fundamentals of Arithmetic
Science 10 – Important MCQs

Algebraic Identities Quiz 01

Algebra Basics of Algebra Algebraic Identities Quiz 01

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Question 1 of 10

1. Question

The expansion of \((x+y)^2\) is:

\(x^2 + y^2\)

\(x^2 + 2xy + y^2\)

\(x^2 – 2xy + y^2\)

\(2x^2 + 2y^2\)

Correct

Incorrect
Question 2 of 10

2. Question

\((p-q)^2\) equals:

\(p^2 + 2pq + q^2\)

\(p^2 – q^2\)

\(p^2 – 2pq + q^2\)

\(p^2 + pq + q^2\)

Correct

Incorrect
Question 3 of 10

3. Question

Which of the following represents \((a+b)^3\)?

\(a^3 + 3ab(a+b) + b^3\)

\(a^3 – b^3 – 3ab(a-b)\)

\(a^3 – 3a^2b + 3ab^2 – b^3\)

\(a^3 + b^3 – 3ab(a+b)\)

Correct

Incorrect
Question 4 of 10

4. Question

The expansion of \((m-n)^3\) is:

\(m^3 + n^3 + 3mn(m+n)\)

\(m^3 – 3mn(m+n) – n^3\)

\(m^3 – 3m^2n + 3mn^2 – n^3\)

\(m^3 + 3m^2n – 3mn^2 – n^3\)

Correct

Incorrect
Question 5 of 10

5. Question

Which of the following is the correct identity for a sum of cubes?

\(x^3 – y^3 = (x-y)(x^2 – xy + y^2)\)

\(x^3 + y^3 = (x+y)(x^2 – xy + y^2)\)

\(x^3 + y^3 = (x-y)(x^2 + xy + y^2)\)

\(x^3 – y^3 = (x+y)(x^2 + xy + y^2)\)

Correct

Incorrect
Question 6 of 10

6. Question

\((p+q)(p-q)\) expands to:

\(p^2 + q^2\)

\(p^2 – q^2\)

\((p+q)^2\)

\(p^2 + pq – q^2\)

Correct

Incorrect
Question 7 of 10

7. Question

Which of the following equals \(a^3 – b^3\)?

\((a-b)(a^2 – ab + b^2)\)

\((a+b)(a^2 + ab + b^2)\)

\((a-b)(a^2 + ab + b^2)\)

\((a-b)(a^2 + ab – b^2)\)

Correct

Incorrect
Question 8 of 10

8. Question

The expansion of \((u+v+w)^2\) is:

\(u^2 + v^2 + w^2 + 2uv + 2vw + 2wu\)

\(u^2 + v^2 + w^2 + uv + vw + uw\)

\((u+v)^2 + w^2\)

\(u^2 + v^2 + w^2 – 2uv\)

Correct

Incorrect
Question 9 of 10

9. Question

Which identity gives the expansion \(x^3 + y^3 + 3xy(x+y)\)?

\((x+y)^3\)

\((x-y)^3\)

\(x^3 + y^3\)

\((x+y)^2\)

Correct

Incorrect
Question 10 of 10

10. Question

Which expression is equal to \(m^2 – 2mn + n^2\)?

\((m+n)^2\)

\((m-n)^2\)

\((m-n)(m+n)\)

\(m^2 + n^2\)

Correct

Incorrect

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Points Table
Viva questions for Physics Class 12
विज्ञान 10 – महत्वपूर्ण MCQs
Fundamentals of Arithmetic
Science 10 – Important MCQs

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