Co406tidn
Answered

Makakuha ng detalyadong mga sagot sa lahat ng iyong tanong sa IDNStudy.com. Sumali sa aming platform ng tanong at sagot upang makakuha ng eksaktong tugon sa lahat ng iyong mahahalagang tanong.

How do you group this 2ax + 3bx + 8ay +12by as a factor?

Sagot :

(2ax + 3bx) + (8ay + 12by)
= x (2a + 3b) + 4y (2a + 3b)
= (x + 4y)(2a + 3b)
Factoring by Grouping

2ax + 3bx + 8ay + 12by = (x+4y) (2a+3b)

First, group terms with common variables.
(2ax + 3bx) + (8ay + 12by)

Factor each using GCMF or greatest common monomial factor
x(2a + 3b) + 4y (2a + 3b)

Lastly, simplify it. In this case, we can simply copy one (2a + 3b) then combine their common factors which are x and 4y.
(x + 4y) (2a + 3b)
                                                                        -KookEin