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Find the common factors of: 12x, 36

Answer: 12 Common factors are described as factors that are common to two or more numbers in mathematics. In other terms, a common factor is a... View Article

Find the common factors of: 14 pq, 28p²q

Answer: 14pq Common factors are described as factors that are common to two or more numbers in mathematics. In other terms, a common factor is a... View Article

Find the common factors of: 16x³, -4x² , 32x

Answer: 4x In Maths, common factors are defined as factors that are common to two or more numbers. A common factor is a number with which a set... View Article

Find the common factors of: 2x, 3x², 4

Answer: 1 Common factors are described as factors that are common to two or more numbers in mathematics. In other terms, a common factor is a... View Article

Find the common factors of: 2y, 22xy

Answer: 2y Common factors are described as factors that are common to two or more numbers in mathematics. In other terms, a common factor is a... View Article

Find the common factors of: 3x²y³, 10x³y², 6x²y²z

Answer: In Maths, common factors are defined as factors that are common to two or more numbers. A common factor is a number with which a set of... View Article

Find the common factors of: 6abc, 24ab², 12a²b

Answer: 6ab In Maths, common factors are defined as factors that are common to two or more numbers. A common factor is a number with which a set... View Article

Find the following squares by using the identities. (i) (b – 7)² (ii) (xy + 3z)² (iii) (6x² – 5y)²

Answer: Using identity (a - b) 2 = a2 + b2 - 2ab (b - 7)2 = b2 + 72 - 2 × b × 7 (b - 7)2 = b2 + 49 - 14b Using identity (a + b) 2... View Article

Find the following squares by using the identities. (i) [(2m/3) + (3n/2)]² (ii) (0.4p – 0.5q)² (iii) (2xy + 5y)²

Answer: Using identity (a + b) 2 = a2 + b2 + 2ab [(2m/3) + (3n/2)]2 = (4m2/9) + (9n2/4) + 2mn Using identity (a - b) 2 = a2 + b2 - 2ab... View Article

Find the multiplicative inverse of the following: (i) -13 (ii) -13/19 (iii) 1/5

Answer: The multiplicative inverse of a number N is represented by 1/N or N-1. It is also called reciprocal, derived from the Latin word... View Article

Find the multiplicative inverse of the following: (i) -5/8 × (-3/7) (ii) -1 × (-2/5) (iii) -1

Answer: The multiplicative inverse of a number N is represented by 1/N or N-1. It is also called reciprocal, derived from the Latin word... View Article

Find the product of the following pairs of monomials. (i) 4, 7p (ii) – 4p, 7p (iii) -4p, 7pq (iv) 4p3, -3p (v) 4p, 0

Answer: Polynomials are algebraic expressions that consist of variables and coefficients. Polynomials are of 3 different types and are... View Article

Find the product: (-10/3 pq³) × (6/5 p³q)

Answer: -4p4q4 ⇒ ⇒ ⇒ ⇒ ⇒ -4 × p4 × q4 ⇒ -4p4q4 (-10pq3/3) × (6p3q/5) = -4p4q4... View Article

Find the product: (2/3 xy) × (-9/10 x²y²)

Answer: (-3/5 x3y3) ⇒ ⇒ ⇒ ⇒ ⇒ (2xy/3) × (-9x2y2/10) = (-3/5 x3y3)... View Article

Find the product: (5 – 2x) (3 + x)

Answer: 15 - x - 2x2 (5 - 2x) × (3 + x) ⇒ 5 (3 + x) - 2x (3 + x) ⇒ 15 + 5x - 6x - 2x2 ⇒ 15 - x - 2x2 (5 - 2x)(3 + x) = 15... View Article

Find the product: (a² + b) (a + b²)

Answer: a3 + b3 + a2b2 + ab (a2+ b) × (a + b2) ⇒ a2 × (a + b2) + b × (a + b2) ⇒ (a2 × a) + (a2 × b2) +... View Article

Find the product: (p² – q²) (2p + q)

Answer: 2p3 - q3 + p2q - 2pq2 (p2 - q2) × (2p + q) ⇒ p2 × (2p + q) - q2 × (2p + q) ⇒ (p2 × 2p) + (p2 ×... View Article

Find the product: (x + 7y) (7x – y)

Answer: 7x2 - 7y2 + 48xy (x + 7y) (7x - y) ⇒ x(7x - y) + 7y (7x - y) ⇒ 7x2 - xy + 49xy - 7y2 ⇒ 7x2 - 7y2 + 48xy (x + 7y) (7x -... View Article

Find the product: (x) × (x²) × (x³) × (x³)

Answer: x10 We know that xa × xb × xc = x(a + b + c) = x (1 + 2 + 3 + 4) = x10 (x) x (x2) x (x3) x (x4) = x10... View Article

Find the product: a² x (2a²²) x (4a²⁶)

Answer: 8a50 a2 x (2a22) x (4a26) = a2 x 2 x a22 x 4 x a26 = (2 × 4) x (a2 × a22 × a26) We know that xa × xb × xc =... View Article