Question

Desenvolva: a) (2x*3 - 5)*5 b) (x - 1) *3 c) (1/x*2 + x)*4 ( binômio de Newton)

Answer 1

 vamos desenvolver ...

temos ... (a+b)∧n = cn,p . a∧n-p . b∧p

a)

c5,0 . (2x³)∧5.-5° + c5,1.(2x³)∧4.-5∧1 + c5,2.(2x³)³.-5² + c5,3.(2x³)².-5³ + c5,4.(2x³)¹.-5∧4 + c5,5.(2x)°.-5∧5

1.32x∧15.1+5.16x∧12.-5+10.8x∧9.25+10.4x∧6.-125+5.2x³.625+1.1.-3125 

32x∧15 - 400x∧12 + 2000x∧9 - 5000x∧6 + 6250x³ - 3125

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b)

c3,0.x³.-1° + c3,1.x².-1¹ + c3,2.x¹.-1² + c3,3.x°.-1³

1.x³.1 + 3.x².-1 + 3.x .1 + 1.1.-1

x³ - 3x² + 3x -1

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c)

c4,0.(1/x)∧4.x°+c4,1.(1/x)³.x¹+c4,2.(1/x)².x²+c4,3.(1/x)¹.x³+c4,4.(1/x)°.x∧4

1.1/x∧4.1+4.1/x³.x+6.1/x².x²+4.1/x.x³+1.1.x∧4

1/x∧4 + x/x³ + 6x²/x² + 4x³/x + x∧4

1/x∧4 + 1/x² + 6 + 4x² + x∧4                               ok