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How do you expand 3x minus 5 to the fifth power using the binomial theorem?

Anonymous

∙ 15y ago

Updated: 11/4/2022

(3x - 5)5

= (3x + -5)5

= (5C0)(3x)5(-50)+(5C1)(3x)4(-5)1+(5C2)(3x)3(-5)2+(5C3)(3x)2(-5)3+(5C4)(3x)1(-5)4+(5C5)(3x)0(-5)5

= (1)(243x5)(1)+(5)(81x4)(-5)+(10)(27x3)(25)+(10)(9x2)(-125)+(5)(3x)(625)+(1)(1)(-3125)

= 243x5 - 2,025x4 + 6,750x3 - 11,250x2 + 9,375x - 3125

Wiki User

∙ 15y ago

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