Question

a) ax-bx + ay - by =
b) 7a + 7c + ma + mc =
c) xy + 2× + 2y + 4 =

Answer 1

Fatorando por agrupamento:
a) ax-bx+ay-by
x(a-b) + y(a-b)
(a-b)(x+y)

b) 7a+7c+ma + mc
7(a+c) + m(a+c)
(a+c)(7+m)

c) xy + 2x + 2y+4
x(y+2) +2(y+2)
(y+2)(x+2)

Answer 2

a)

= ax - bx + ay - by

= x.(a - b) + y.(a - b)

= (x + y).(a - b)

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b)

= 7a + 7c + ma + mc

= 7.(a + c) + m.(a + c)

= (7 + m).(a + c)

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c)

= xy + 2x + 2y + 4

= x.(y + 2) + 2.(y + 2)

= (x + 2).(y + 2)

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