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