Factorisation by Grouping Worksheet

Grade 9 Math worksheet on factorisation by grouping with various question types.

Grade 9 Math AlgebraFactorisation by Grouping

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Includes

Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.2CCSS.MATH.CONTENT.HSA.APR.A.1

Topics

MathAlgebraFactorisationGroupingGrade 9

6 sections · Free to use · Printable

Factorisation by Grouping

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Read each question carefully and factorise the given expressions by grouping. Show all your steps clearly.

1. Factorise the expression: ax + ay + bx + by

2. Factorise the expression: x² + 2x + xy + 2y

3. Factorise the expression: 3m + 3n + xm + xn

Complete the factorisation for each expression:

4. 2ab + 2ac + 3b + 3c = 2a(b + c) +

5. px - py - qx + qy = p(x - y) -

6. 5x² - 5xy + 2x - 2y = 5x(x - y) +

7. Which of the following is the correct factorisation of 4a² + 4ab + 3ac + 3bc?

(4a + 3b)(a + c)

(4a + 3c)(a + b)

(4a + 3)(a + bc)

(a + b)(4a + 3c)

Determine if the following statements are True or False:

8. The expression 6xy - 4x + 3y - 2 can be factorised by grouping.

True

False