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Question (21)

QN009398

Factorise 1−49x 2 .

(A) (1−7x) 2
(B) (1+7x)(1−7x)
(C) (1−49x)(1+x)
(D) (7−x)(7+x)

Correct Answer: B

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Question (22)

QN009399

Which factorisation is correct for 64a 2 +16ab+b 2 ?

(A) (8a+b) 2
(B) (8a−b) 2
(C) (4a+b) 2
(D) (16a+b) 2

Correct Answer: A

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Question (23)

QN009400

Factorise 225x 2 −y 2 .

(A) (15x−y) 2
(B) (225x−y)(x+y)
(C) (15x+y)(15x−y)
(D) (225x+y)(225x−y)

Correct Answer: C

Explanation:

Use difference of squares identity.

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Question (24)

QN009401

Which identity is used to factorise a 2 +2ab+b 2 ?

(A) Difference of squares
(B) Perfect square identity
(C) Difference of cubes
(D) Sum of cubes

Correct Answer: B

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Question (25)

QN009402

Factorise 49m 2 +14mn+n 2 .

(A) (7m+n) 2
(B) (7m−n) 2
(C) (49m+n) 2
(D) (7m+n)(7m−n)

Correct Answer: A

Explanation:

This is a perfect square trinomial.

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Question (26)

QN009403

Factorise x 2 − 16 1 .

(A) (x− 4 1 ) 2
(B) (x+ 4 1 )(x− 4 1 )
(C) (x− 16 1 )(x+1)
(D) (4x−1)(4x+1)

Correct Answer: B

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Question (27)

QN009404

Which pair forms a perfect square trinomial?

(A) a 2 +6a+9
(B) a 2 +6a+8
(C) a 2 +8a+12
(D) a 2 +10a+16

Correct Answer: A

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Question (28)

QN009405

Factorise 169x 2 −196y 2 .

(A) (13x−14y) 2
(B) (13x+14y)(13x−14y)
(C) (169x−196y)(x+y)
(D) (13x−14y)(x−y)

Correct Answer: B

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Question (29)

QN009406

Which of the following is factorised form of a 2 +18a+81?

(A) (a+9) 2
(B) (a−9) 2
(C) (a+18) 2
(D) (a+1)(a+81)

Correct Answer: A

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Question (30)

QN009407

Factorise 9x 2 −30xy+25y 2 .

(A) (3x+5y) 2
(B) (3x−5y) 2
(C) (9x−25y) 2
(D) (x−5y) 2

Correct Answer: B

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Question (21)

Factorise 1−49x 2 .

Explanation:

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Question (22)

Which factorisation is correct for 64a 2 +16ab+b 2 ?

Explanation:

Link:

Question (23)

Factorise 225x 2 −y 2 .

Explanation:

Link:

Question (24)

Which identity is used to factorise a 2 +2ab+b 2 ?

Explanation:

Link:

Question (25)

Factorise 49m 2 +14mn+n 2 .

Explanation:

Link:

Question (26)

Factorise x 2 − 16 1 ​ .

Explanation:

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Question (27)

Which pair forms a perfect square trinomial?

Explanation:

Link:

Question (28)

Factorise 169x 2 −196y 2 .

Explanation:

Link:

Question (29)

Which of the following is factorised form of a 2 +18a+81?

Explanation:

Link:

Question (30)

Factorise 9x 2 −30xy+25y 2 .

Explanation:

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Factorise x 2 − 16 1 .