Archives

The product of two terms with like signs is a ____ term.

Answer: The product of two terms with like signs is a positive term. Example 1: Let us assume two terms with like sign are, 3p and 2q The... View Article

The value of (a + b)²– (a – b)² is (a) 4ab (b) – 4ab (c) 2a² + 2b² (d) 2a² – 2b²

Answer: (a) 4ab The value of (a + b)2 is (a + b)2 = (a2 + b2 + 2ab) The value of (a – b)2 is (a2 + b2 – 2ab) (a + b)2 – (a... View Article

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 = (a2 + b2 – 2ab) (a + b)2 + (a – b)2 = (a2 + b2 +... View Article

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) = 3x (x2 + 3x + 9) The value of (3x3 +9x2 + 27x) ÷ 3x... 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 (2x2 + 4) = 2(x2 + 2) (2x2 + 4) ÷ 2 = [2(x2 + 2)]/2 (2x2... 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) (– 9xy) can be written as (–... 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 second number, then the first number must divide the second... 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, then the first number must divide the 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 number must divide the second number completely... 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, a common factor is a number with... 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, a common factor is a number with... 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 – 2)] = [(2p – 4) × (2p +... 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 = 114 × p × q On... 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 of the given algebraic... 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 of the given algebraic... 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 of the given algebraic... View Article