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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

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∙ 15y ago

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(x - 16)(x + 2) x = 16 or -2

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No, 17x is not a binomial; it is a monomial. A binomial consists of two distinct terms separated by a plus or minus sign, while a monomial contains only one term. In this case, 17x has only one term, which makes it a monomial.

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Assuming there should have been a plus or minus sign between 4x2and 3x, the answer is: a binomial.Assuming there should have been a plus or minus sign between 4x2and 3x, the answer is: a binomial.Assuming there should have been a plus or minus sign between 4x2and 3x, the answer is: a binomial.Assuming there should have been a plus or minus sign between 4x2and 3x, the answer is: a binomial.

An expression consisting of two terms connected by a plus or minus sign?

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How many terms binomial have?

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One fifth is two tenths. 8 tenths minus 2 tenths is 6 tenths or 3 fifths.

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