Factorisation by middle term
Last updated at Dec. 13, 2024 by Teachoo
Ex 2.4, 15 Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given: (i) Area : 25a2 – 35a + 12 First we factorize 25a2 – 35a + 12 We factorize using the splitting the middle term method = 25a2 – 15a – 20a + 12 = 5a(5a – 3) – 4(5a – 3) = (5a – 3) (5a – 4) Hence, Area = (5a – 3) (5a – 4) Area = Length × Breadth Hence, there are two possibilities