Factorisation by Grouping Worksheet
Grade 10 Math worksheet on factorisation by grouping with various question types.
Includes
Standards
Topics
Factorisation by Grouping
Name:
Date:
Score:
Read each question carefully and factorise the given expressions by grouping. Show all your steps.
1. Factorise the expression: ax + ay + bx + by
2. Factorise the expression: x³ + 2x² + 5x + 10
3. Factorise the expression: 2xy - 4x + 3y - 6
1. To factorise 3x² + 6x + 4x + 8 by grouping, the first step is to group the terms: (3x² + 6x) + (4x + 8). Then, factor out the common factor from each group: 3x(x + 2) + 4(x + 2). Finally, factor out the common binomial factor: .
2. When factorising 5y² - 10y + 7y - 14, the common factor for the first group (5y² - 10y) is 5y, resulting in 5y(y - 2). The common factor for the second group (7y - 14) is , which gives 7(y - 2). The final factorised form is (5y + 7)(y - 2).
1. Which of the following is the correct factorisation of 6ab - 9a + 2b - 3?
(3a + 1)(2b - 3)
(3a - 1)(2b + 3)
(3a + 1)(2b + 3)
(3a - 1)(2b - 3)
2. What is the common binomial factor when factorising x² + 3x + 4x + 12?
(x + 3)
(x + 4)
(x²)
(3x)
1. Factorisation by grouping is only applicable to expressions with four terms.
True
False
2. The expression x² - 5x + 2x - 10 can be factorised as (x - 5)(x + 2).
True
False
Factorise the expression: a³ - a²b + ab² - b³
Related Worksheets
Radical Operations Worksheet
Grade 10 Math worksheet covering operations with radical expressions including simplification, addition, subtraction, multiplication, and division.
Solving Square Root Equations
This worksheet focuses on solving square root equations, including identifying extraneous solutions, for Grade 10 Algebra students.
Perfect Square Trinomials Worksheet
This worksheet focuses on identifying, factoring, and creating perfect square trinomials for Grade 10 Algebra students.
Mathematical Proofs: Introduction and Basic Techniques
This worksheet introduces fundamental concepts and techniques in mathematical proofs, suitable for Grade 10 students.
Three-Step Equations Worksheet
Solve three-step algebraic equations involving various operations for Grade 10 students.
Rearranging Equations Worksheet
A Grade 10 Math worksheet focused on rearranging algebraic equations to solve for specific variables.
Zero Product Property Worksheet
Practice applying the Zero Product Property to solve quadratic equations and other polynomial equations.
Parts of an Expression Review
This worksheet helps Grade 10 students identify and understand the different parts of algebraic expressions, including terms, coefficients, variables, and constants.