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It depends on what you wish to subtract them from. The solution is to write the minuend (what you want to subtract FROM). Then append the binomial or monomial with the sign of each term changed. Then combine like terms.

For example, if you wish to subtract 3x2 - 4x + 6 from sin(x) + 5x, the solution is

sin(x) + 5x - 3x2 + 4x - 6 = sin(x) + x - 3x2 - 6

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Basically, the same way you add them. You look for like terms - terms that have exactly the same variable, or combination of variables - and subtract them.

Q: How do you subtract binomials and monomials?

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Trinomials, Binomials and Monomials

A monomial is a polynomial that has just one term. So to add or subtract monomials, is the same as we add or subtract like terms (terms that have exactly the same variable part). Since we are dealing with monomials, the restriction is that the exponent(s) of the variable(s) must be positive integer(s). Examples of monomials: 10xy, -5xy2, -3x2, 3w3z6, -7xy, -4x2, 2xy2, 9w3z6. So, how to add or subtract them? First detect where the like terms (monomials) are, then group them (write them next to each other), then combine (ad or subtract their coefficients, and write next to the result the common variable part). 10xy -7xy = 3xy (subtract since the coefficients have different sign). -5xy2 +2xy2 = -3xy2 (subtract since the coefficients have different sign). -3x2 -4x2 = -7x2 (add because the coefficients have the same sign). 3w3z6 + 9w3z6 = 12w3z6 (add because the coefficients have the same sign).

When multiplying numbers with exponents, you add the exponents.

Divide coefficients and subtract exponents of the same variable. EX: (20 x6) / (4 x2) = 5 x4

Two monomials would be a Binomial or Polynomial.

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Trinomials, Binomials and Monomials

I think it's just polynomials after that. I don't think there's a quadranomial or anything.

A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.

All of these are monomials. The binomials are algebraic expressions consisting of two terms. A term is a constant, a variable, or a combination of constants and variables. 2y, 2x, y, and 2xy consisting of only one term, so they are monomials. Examples of binomials: 2 + 5, 2x + 3, 3x + 7y, 2xyz + 7xy,...

A polynomial.

A monomial is a polynomial that has just one term. So to add or subtract monomials, is the same as we add or subtract like terms (terms that have exactly the same variable part). Since we are dealing with monomials, the restriction is that the exponent(s) of the variable(s) must be positive integer(s). Examples of monomials: 10xy, -5xy2, -3x2, 3w3z6, -7xy, -4x2, 2xy2, 9w3z6. So, how to add or subtract them? First detect where the like terms (monomials) are, then group them (write them next to each other), then combine (ad or subtract their coefficients, and write next to the result the common variable part). 10xy -7xy = 3xy (subtract since the coefficients have different sign). -5xy2 +2xy2 = -3xy2 (subtract since the coefficients have different sign). -3x2 -4x2 = -7x2 (add because the coefficients have the same sign). 3w3z6 + 9w3z6 = 12w3z6 (add because the coefficients have the same sign).

When multiplying numbers with exponents, you add the exponents.

yes- monomial means having one term, 5, 5x and 13xyz are all monomials 2 +13x, and 34xy- 3z are binomials. ( bi means two)

Divide coefficients and subtract exponents of the same variable. EX: (20 x6) / (4 x2) = 5 x4

Two monomials would be a Binomial or Polynomial.

The product of monomials is a single term.

A polynomial has 3 or more terms. It can have exponents and variables. Example: 24x + 74y - 24z 24x = term 1 74y = term 2 24z = term 3 EDIT: Polynomials can have 1 or 2 terms as well. But those are special, they are monomials and binomials.