Archives

Factorise the following expression: x⁴ – (y + z)⁴

Answer: (x - y - z)(x + y + z) [x2 + (y + z)2] In Maths, common factors are defined as factors that are common to two or more numbers. A common... View Article

Factorise the following expression: y(y + z) + 9(y + z)

Answer: (y + z)(y + 9) In Maths, common factors are defined as factors that are common to two or more numbers. A common factor is a number with... View Article

Factorise the following: 27 – 125a³ – 135a + 225a²

Answer: The expression, 27 - 125a3 - 135a + 225a2 can be written as 33 - (5a)3 - 3(3)2(5a) + 3(3)(5a)2 27 - 125a3 - 135a + 225a2 = 33 - (5a)3 -... View Article

Factorise the following: 64a³ – 27b³ – 144a²b + 108ab²

Answer: The expression, 64a3 - 27b3 - 144a2b +108ab2 can be written as (4a)3 - (3b)3 - 3(4a)2(3b) + 3(4a)(3b)2 64a3 - 27b3 - 144a2b + 108ab2=... View Article

Factorise the following: 7p³ – (1/216) – (9/2) p² + (1/4)p

Answer: The expression, 27p3 - (1/216) - (9/2) p2 + (1/4)p can be written as (3p)3 - (1/6)3 - 3(3p)2(1/6) + 3(3p)(1/6)2 We know the the... View Article

Factorise the following: 8a³ + b³ + 12a²b + 6ab²

Answer: The expression, 8a3 + b3 + 12a2b + 6ab2 can be written as (2a)3 + b3 + 3(2a)2b + 3(2a)(b)2 8a3 + b3 + 12a2b + 6ab2 = (2a)3 + b3 +... View Article

Factorise: (l + m)² – (l – m)²

Answer: 4ml 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

Factorise: (x² – 2xy + y²) – z²

Answer: (x - y - z)(x - y + z) In Maths, common factors are defined as factors that are common to two or more numbers. A common factor is a... View Article

Factorise: 15pq + 15 + 9q + 25p

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

Factorise: 15xy – 6x + 5y – 2

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

Factorise: 16x⁵ -144x³

Answer: 16x3(x - 3)(x + 3) In Maths, common factors are defined as factors that are common to two or more numbers. A common factor is a number... View Article

Factorise: 25a² – 4b² + 28bc – 49c²

Answer: (5a + 2b - 7c)(5a - 2b - 7c) In Maths, common factors are defined as factors that are common to two or more numbers. A common factor is a... View Article

Factorise: 27x^{3 + y³ + z³ – 9xyz}

Answer: The expression 27x3 + y3 + z3- 9xyz can be written as (3x)3 + y3 + z3 - 3(3x)(y)(z) 27x3 + y3 + z3 - 9xyz = (3x)3 + y3 + z3 -... View Article

Factorise: 49x² – 36

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

Factorise: 4p² – 9q²

Answer: (2p - 3q)(2p + 3q) In Maths, common factors are defined as factors that are common to two or more numbers. A common factor is a number... View Article

Factorise: 63a² – 112b²

Answer: 7(3a + 4b)(3a - 4b) In Maths, common factors are defined as factors that are common to two or more numbers. A common factor is a number... View Article

Factorise: 9x²y² – 16

Answer: (3xy - 4)(3xy + 4) In Maths, common factors are defined as factors that are common to two or more numbers. A common factor is a number... View Article

Factorise: ax + bx – ay – by

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

Factorise: x² + xy + 8x + 8y

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

Factorise: z – 7 + 7xy – xyz

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