Class 9 Maths MCQs for Chapter 4 Exploring Algebraic Identities With Answers PDF

MCQs for Class 9 Maths Chapter 4 Exploring Algebraic Identities are given here with a free PDF for offline practice. These questions help students revise important topics from the chapter and prepare well for exams. The MCQs include questions on algebraic identities, expansion of expressions, squares of binomials, products of binomials, and factorisation. Answers and easy explanations are also provided to help students understand the concepts better. Regular practice can improve speed, accuracy, and confidence in exams.

MCQs Questions for Class 9 Maths Chapter 4 Exploring Algebraic Identities

Question 1: What is the value of  (a+b)2 ?

Options:

(A). (a2+b2)
(B). (a2+2ab+b2)
(C). (a2−2ab+b2)
(D). (a2−ab+b2)

Answer: (B).  (a2+2ab+b2)

Question 2: Which identity represents (a−b)2 ?

Options:

(A).  (a2−2ab+b2)
(B).  (a2+b2)
(C).  (a2+2ab+b2)
(D).  (a2−ab−b2)

Answer: (A).  (a2−2ab+b2)

Question 3: The product of (a+b)(a−b) is:

Options:

(A).  (a2+b2)
(B).  (a2−b2)
(C).  (a2+2ab+b2)
(D).  (a2−2ab+b2)

Answer: (B).  (a2−b2)

Question 4: Expand  (x+5)2 .

Options:

(A).  x2+10x+25
(B).  x2+25
(C).  x2−10x+25
(D).  x2+5x+25

Answer: (A). (x2+10x+25)

Question 5: What is the expansion of (y−3)2 ?

Options:

(A).  (y2+6y+9)
(B).  (y2−9)
(C).  (y2−6y+9)
(D).  (y2+3y+9)

Answer: (C).  (y2−6y+9)

Question 6: Which identity is used for  (a+b+c)2) ?

Options:

(A).  (a2+b2+c2)
(B).  (a2+b2+c2+2ab+2bc+2ca)
(C).  (a2−b2−c2)
(D).  (a2+b2−c2)

Answer: (B).  (a2+b2+c2+2ab+2bc+2ca)

Question 7: Find the product of  (2x+3)(2x−3) .

Options:

(A).  (4x2−9)
(B).  (4x2+9)
(C).  (2x2−9)
(D).  (4x2+6x−9)

Answer: (A).  (4x2−9)

Question 8: What is  (m+n)2−(m−n)2 ?

Options:

(A).  (2mn)
(B).  (4mn)
(C).  (m2+n2)
(D).  (m2−n2)

Answer: (B). (4mn)

Question 9: Expand (2a+b)2 .

Options:

(A).  (4a2+b2)
(B).  (4a2+4ab+b2)
(C).  (2a2+b2)
(D).  (4a2+2ab+b2)

Answer: (B). (4a2+4ab+b2)

Question 10: Which expression is equal to  (a2−b2) ?

Options:

(A).  (a+b)2
(B).  (a−b)2
(C).  (a+b)(a−b)
(D).  (a−b)(a−b)

Answer: (C).  (a+b)(a−b)

Question 11: Simplify .

Options:

(A).  (x2+16)
(B).  (x2−16)
(C).  (x2−8x+16)
(D).  (x2+8x+16)

Answer: (B).  (x2−16)

Question 12: Expand  (3p−q)2 .

Options:

(A).  (9p2−q2)
(B).  (9p2−6pq+q2)
(C).  (3p2−q2)
(D).  (9p2+6pq+q2)

Answer: (B).  (9p2−6pq+q2)

Question 13: Which of the following is a standard algebraic identity?

Options:

(A).  (a+b=a2+b2)
(B).  ((a+b)2=a2+2ab+b2)
(C).  (a−b=a2−b2)
(D).  (ab=a+b)

Answer: (B).  ((a+b)2=a2+2ab+b2)

Question 14: Expand (x+y+z)2 .

Options:

(A).  (x2+y2+z2)
(B).  (x2+y2+z2+2xy+2yz+2zx)
(C).  (x2−y2−z2)
(D).  (x+y+z)

Answer: (B). (x2+y2+z2+2xy+2yz+2zx)

Question 15: What is the square of (5a) ?

Options:

(A).  (10a)
(B).  (25a)
(C).  (25a2)
(D).  (5a2)

Answer: (C).  (25a2)

Question 16: Expand  (a+2b)2 .

Options:

(A).  (a2+2ab+4b2)
(B).  (a2+4ab+4b2)
(C).  (a2−4ab+4b2)
(D).  (a2+4b2)

Answer: (B).  (a2+4ab+4b2)

Question 17: The expression  (p−q)(p+q) simplifies to:

Options:

(A).  (p2+q2)
(B).  (p2−q2)
(C).  (p2+2pq+q2)
(D).  (p2−2pq+q2)

Answer: (B).  (p2−q2)

Question 18: Expand  (4x+1)2 .

Options:

(A).  (16x2+8x+1)
(B).  (16x2+1)
(C).  (8x2+1)
(D).  (16x2−8x+1)

Answer: (A).  (16x2+8x+1)

Question 19: Which identity is used to find the square of a binomial?

Options:

(A).  (a+b)2
(B).  (a−b)
(C).  (a+b)
(D).  (ab)

Answer: (A).  (a+b)2

Question 20: Simplify  (7m−2n)2 .

Options:

(A).  49m2−28mn+4n2
(B).  49m2+4n2
(C).  14m2−4n2
(D).  49m2+28mn+4n2

Answer: (A).  49m2−28mn+4n2

Question 21: What is the result of (x+2)(x+2) ?

Options:

(A).  (x2+2x+4)
(B).  (x2+4x+4)
(C).  (x2−4)
(D).  (x2+4)

Answer: (B).  (x2+4x+4)

Question 22: Which expression gives the difference of squares?

Options:

(A).  (a+b)2
(B).  (a−b)2
(C).  (a+b)(a−b)
(D).  (ab)

Answer: (C).  (a+b)(a−b)

Question 23: Expand  (2x−5)2 .

Options:

(A).  (4x2−20x+25)
(B).  (4x2+25)
(C).  (2x2−25)
(D).  (4x2+20x+25)

Answer: (A).  (4x2−20x+25)

Question 24: Which of the following is the correct expansion of  (a−b+c)2 ?

Options:

(A).  (a2+b2+c2−2ab+2ac−2bc)
(B).  (a2−b2+c2)
(C).  (a+b+c)
(D).  (a2+2ab+b2)

Answer: (A).  (a2+b2+c2−2ab+2ac−2bc)

Question 25: What is the value of (3x+2y)2 ?

Options:

(A).  (9x2+12xy+4y2)
(B).  (9x2+4y2)
(C).  (3x2+2y2)
(D).  (9x2−12xy+4y2)

Answer: (A).  (9x2+12xy+4y2)

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