Question

Fatore as expressões:
a) 2ax + 2bx + ay + by
b) x 4 – 3x3 + 2x – 6
c) ax – x + ay – y
d) 2a2 – a + 4ab – 2b
e) 2ax + 6a + 5x + 15

Answer 1

a) 2ax + 2bx + ay + by ==>  2x(a + b) + y(a + b) ==> (2x + y)(a + b) 
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b) x 4 – 3x3 + 2x – 6 =  x3(x - 3) + 2(x – 3) ==> (x3 + 2)(x – 3) 
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c) ax – x + ay – y =  x(a – 1) + y(a – 1) ==> (x + y)(a – 1) 
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d) 2a2 – a + 4ab – 2b  =  a(2a – 1) + 4b(a – 1) ==> (a + 4b) + (a – 1)
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e) 2ax + 6a + 5x + 15 =  2a(x + 3) + 5(x + 3) ==> (2a + 5)(x + 3)