1. Factor the following trinomials using the substitution method:
(i) 4(a – b)^{2} – 14(a – b) - 8Answers for the worksheet on factoring trinomials by substitution are given below to check the exact answers of the above trinomial expressions.
Answers:
1. (i) 2(a – b – 4)(2a – 2b + 1)
(ii) (3x – 4)(9x + 5)
(iii) (a + 2b + 1)(2a + 4b – 1)
(iv) (a + b – 3)( a + b + 2)
(v) (x - 8)(x + 5)(x - 2)(x - 1)
(vi) (2x - 2y + 3)(3x - 3y - 5)
(vii) (p^{2} – 3q^{2} – 7)(p^{2} – 3q^{2} - 9)(ix) (x – 10)(x + 2)(x – 9)(x + 1)
(x) (x + y – 7)(x + y – 1)
2. (i) (x – 2y + 9)(x – 2y – 2)
(ii) (a – b – 4)(3a – 3b + 11)
(iii) (5a - 3b + 4)(5a - 3b + 4)
(iv) (x – 4y – 5)(x – 4y – 5)
(v) (3r – 2)(3r - 10)
(vi) 7(7m – 4)(m + 2)
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