Question

Factroise the following by regrouping the terms:6xy-4y+5x-10​

Answer 1

Answer:

factor of 6xy-4y+5x-9 are (3x - 2) & (2y - 3)

Step-by-step explanation:

Step 1 :- Check if there is a common factor among all terms. There is none.

Step 2 :- Think of grouping. Notice that first two terms have a common factor 2y;

6xy – 4y = 2y (3x – 2) (a)

What about the last two terms? Observe them. If you change their order to

    

    – 9x + 6, the factor ( 3x – 2) will come out;

                                       –9x + 6 = –3 (3x) + 3 (2)

                                               = – 3 (3x – 2) (b)

Step 3 :-        Putting (a) and (b) together,

   6xy – 4y + 6 – 9x = 6xy – 4y – 9x + 6

                                   = 2y (3x – 2) – 3 (3x – 2)

                                   = (3x – 2) (2y – 3)

  So,   The factors of (6xy – 4y + 6 – 9 x) are (3x – 2) and (2y – 3).