Question

1) fatores expressões

a)6x+6y+ax+ay

b)ax+ay +7x+7y

c)20+2m+ax+ax

d)ax+5bx+ay+5by

2)ultilize,nas expressões,a fatoração por agrupamento

a)ax+bx+5a+5b

b)10b-5c+2bx+5b

c)12xy+8x+3y+2

d)30xao quadrado-20xy+21bx+14by

Answer 1

1
a
6x + 6y + ax + ay =
6 ( x + y) + a ( x + y ) 
( 6 + a ) ( x + y) ***
b
ax + ay + 7x + 7y =
a ( x + y) + 7 ( x + y)
( a + 7) ( x + y)
c
20 + 2m + ax + ax =
20 + 2m + 2ax =
2 ( 10 + m + ax ) ***
d
ax + 5bx  + ay + 5by =
x ( a + 5b ) + y ( a + 5b)
( x + y) ( a + 5b) ***
2
a
ax + bx + 5a + 5b =
x ( a + b) + 5 ( a + b) =
9 x + 5 ) ( a + b)
b
10b - 5c + 2bx + 5b =
10b + 5b - 5c + 2bx =
15b - 5c + 2bx =
c
12xy + 8x  + 3y + 2 =
4x ( 3y + 2) + 1 ( 3y + 2)
( 4x + 1) ( 3y + 2)