Question

39 e 40 PORFAVO E SOBRE FATORAÇAO

Answer 1

39-

XY 5x. Y. 5
--- +------ +----- +------
6. 3. 2. 1

xy+ 10x+3y+30
---------------------
6

X(y+10)+3(Y+10)
----------------------
6
(X+3)(y+10)
---------------
6

Answer 2

$39)mmc (6,3,2)=6 \\ \\ \dfrac{xy+10x+3y+30}{6}= \dfrac{x (y+10)+3(y+10)}{6} = \dfrac{(x+3)(y+10)}{6} \\ \\ \\ 40)mmc (15,35,28,12)|2~~~~~~~~~~~~~~~ \dfrac{56am-72bm-45bn+35an}{420} =\\ ~~~~~~~~~~~~~15 ,35,14,6~~~|2 \\ ~~~~~~~~~~~~~~15,35,7,3~~~|3~~~~~~~~~~~~~~~ \dfrac{8m (7a-9b)+5n(7a-9b)}{420}= \\ ~~~~~~~~~~~~~~~5,35,7,1~~~|5 \\ ~~~~~~~~~~~~~~~~1,7,7,1~~~|7 \\ ~~~~~~~~~~~~~~~~1,1,1,1~=420 ~~~~~~~~~~~~~ \dfrac{(8m+5n)(7a-9b)}{420} \\ \\ 7$