Question

utilize o caso correto e fatore as expressões
a)m²+mx+mb+bx
b)3a²+3+ba²+b
c)x³+3x²+2x+6
d)x³ + x²+x+1
e)x³ -x² + x -1
f)x³ + 2x²+xy+2y
g)x²+2x+5x+10
h)x³ -5x²+4x-20

Answer 1

a)m²+mx+mb+bx ==> m(m+x) + b(m+x) ==> (m+ b)(m+x)
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b)3a²+3+ba²+b = 3(a²+1) + b(a²+1) ==> (a²+1)( 3 + b )
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c)x³+3x²+2x+6 =  x²(x + 3) +2(x+3) ==> (x²+2) (x+3)
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d)x³ + x²+x+1 =  x²(x + 1) + 1(x+1) ==> (x²+1) (x+1)
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e)x³ -x² + x -1 = x²(x - 1) + 1(x-1) ==> (x²+1) (x-1)
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f)x³ + 2x²+xy+2y = x²(x + 2) + y(x+2) ==> (x²+y) (x+2)
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g)x²+2x+5x+10 = x(x + 2) + 5(x+2) ==> (x+2) (x+5)
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h)x³ -5x²+4x-20  = x²(x - 5) + 4(x-5) ==> (x²+4) (x-5)