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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

Factorize the following using appropriate identities: 4y² −4y + 1

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest... View Article

Factorize the following using appropriate identities: 9x² + 6xy + y²

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest... View Article

Factorize the following using appropriate identities: x² – y²/100

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest... View Article

Factorize the following: 27y³ + 125z³

Answer: 27y3 + 125z3 = (3y + 5z)(9y2 - 15yz + 25z2) The expression, 27y3 + 125z3 can be written as (3y)3 + (5z)3 27y3 + 125z3 = (3y)3 + (5z)3 We... View Article

Factorize the following: 64m³ – 343n³

Answer: (4m)3 - (7n)3 = (4m - 7n)(16m2 + 28mn + 49n2) The expression, 64m3 - 343n3 can be written as (4m)3 - (7n)3 64m3 - 343n3 = (4m)3 - (7n)3... View Article

Factorize: 2x² + y² + 8z² – 2√2xy + 4√2yz – 8xz

Answer: Given 2x2 + y2 + 8z2 - 2√2xy + 4√2yz - 8xz Using identity, (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx We can say that, x2... View Article

Factorize: 3x² – x – 4

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest... View Article

Factorize: 4x² + 9y² + 16z² + 12xy – 24yz – 16xz

Answer: Given 4x2 + 9y2 + 16z2 + 12xy - 24yz - 16xz Using identity, (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx We can say that, x2 + y2 + z2 +... View Article

Factorize: 6x² – 5x – 6

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest... View Article

Factorize: x³ + 13x² + 32x + 20

Answer: Let p(x) = x3+13x2+32x+20 Factors of 20 are ±1, ±2, ±4, ±5, ±10 and ±20 By trial method, we... View Article

Fig. shows a car sticking to an electromagnet. Name the forces acting on the car? Which one of them is larger?

Answer: The forces working on the car are Force of gravity which is the downward force The magnetic force which is the upward force Because the... View Article