The value of (a + b)2 + (a – b)2 is (a) 2a + 2b (b) 2a – 2b (c) 2a2 + 2b2 (d) 2a2 – 2b2
Answer: (c) 2a2 + 2b2 We know that (a + b)2 = (a2 + b2 + 2ab) (a – b)2... View Article
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The value of (3x3 +9x2 + 27x) ÷ 3x is (a) x2 +9 + 27x (b) 3x3 +3x2 + 27x (c) 3x3 +9x2 + 9 (d) x2 +3x + 9
Answer: (d) x2 +3x + 9 Takeout 3x as a common in (3x3 +9x2 + 27x) (3x3 +9x2 + 27x)... View Article
The value of (2x2 + 4) ÷ 2 is (a) 2x2 + 2 (b) x2 + 2 (c) x2 + 4 (d) 2x2 + 4
Answer: (b) x2 + 2 The value of (2x2 + 4) ÷ 2 (2x2 + 4) can be written as... View Article
The value of (– 27x2y) ÷ (– 9xy) is (a) 3xy (b) – 3xy (c) – 3x (d) 3x
Answer: (d) 3x (– 27x2y) can be written as (– 27x2y) = (-27 × x × x × y) (–... View Article
The factors of x2 – 4 are (a) (x – 2), (x – 2) (b) (x + 2), (x – 2) (c) (x + 2), (x + 2) (d) (x – 4), (x – 4)
Answer: (b) (x + 2), (x – 2) When a number is said to be a factor of any other... View Article
The factorised form of 3x – 24 is (a) 3x × 24 (b) 3 (x – 8) (c) 24 (x – 3) (d) 3(x – 12)
Answer: (b) 3 (x – 8) When a number is said to be a factor of any other second number,... View Article
Number of factors of (a + b)2 is (a) 4 (b) 3 (c) 2 (d) 1
Answer: (c) 2 When a number is said to be a factor of any other second number, then the first... View Article
An irreducible factor of 24x2y2 is (a) x2 (b) y2(c) x (d) 24x
Answer: (c) x Common factors are defined as factors that are common to two or more numbers. In other words,... View Article
The common factor of 3ab and 2cd is (a) 1 (b) – 1 (c) a (d) c
Answer: (a) 1 Common factors are defined as factors that are common to two or more numbers. In other words,... View Article
On dividing p (4p2 – 16) by 4p (p – 2), we get (a) 2p + 4 (b) 2p – 4 (c) p + 2 (d) p – 2
Answer: (c) p + 2 On dividing p(4p2 – 16) by 4p (p – 2) = [p((2p)2 – (4)2)]/ [4p(p... View Article
On dividing 57p2qr by 114pq, we get (a) ¼pr (b) ¾pr (c) ½pr (d) 2pr
Answer: (c) ½pr 57p2qr can be expanded as 57p2qr = 57 × p × p × q × r 114pq... View Article
Factorised form of p2 – 17p – 38 is (a) (p – 19) (p + 2) (b) (p – 19) (p – 2) (c) (p + 19) (p + 2) (d) (p + 19) (p – 2)
Answer: (a) (p – 19) (p + 2) To factorize an algebraic expression, the highest common factors of the terms... View Article
Factorised form of r2 – 10r + 21 is (a) (r – 1) (r – 4) (b) (r – 7) (r – 3) (c) (r – 7) (r + 3) (d) (r + 7) (r + 3)
Answer: (b) (r – 7) (r – 3) To factorize an algebraic expression, the highest common factors of the terms... View Article
Factorised form of 23xy – 46x + 54y – 108 is (a) (23x + 54) (y – 2) (b) (23x + 54y) (y – 2) (c) (23xy + 54y) (– 46x – 108) (d) (23x + 54) (y + 2)
Answer: (a) (23x + 54) (y – 2) To factorize an algebraic expression, the highest common factors of the terms... View Article
Square of 9x – 7xy is (a) 81x2 + 49x2y2(b) 81x2 – 49x2y2 (c) 81x2 + 49x2y2 –126x2y (d) 81x2 + 49x2y2 – 63x2y
Answer: (c) 81x2 + 49x2y2 –126x2y As per the condition in the question, (9x – 7xy)2 The standard identity is... View Article
Common factor of 17abc, 34ab2, 51a2b is (a) 17abc (b) 17ab (c) 17ac (d) 17a2b2c
Answer: (b) 17ab Common factors are defined as factors that are common to two or more numbers. In other words,... View Article
a2 – b2 is equal to (a) (a – b)2 (b) (a – b) (a – b) (c) (a + b) (a – b) (d) (a + b) (a + b)
Answer: (c) (a + b) (a – b) (a2 – b2) = (a + b) (a – b) It is... View Article
Coefficient of y in the term –y/3 is (a) – 1 (b) – 3 (c) -1/3 (d) 1/3
Answer: (c) -1/3 – y/3 can also be written as y × (-1/3) So, the coefficient of y is -1/3... View Article
Which of the following are like terms? (a) 5xyz2, – 3xy2z (b) – 5xyz2, 7xyz2 (c) 5xyz2, 5x2yz (d) 5xyz2, x2y2z2
Answer: (b) – 5xyz2, 7xyz2 Like terms are formed from the same variables and the powers of these variables are... View Article
Square of 3x – 4y is (a) 9x2 – 16y2 (b) 6x2 – 8y2 (c) 9x2 + 16y2 + 24xy (d) 9x2 + 16y2 – 24xy
Answer: (d) 9x2 + 16y2 – 24xy As per the condition in the question, (3x – 4y)2 The standard identity... View Article
