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If you want to multiply the monomial by the polynomial, yes. In that case, you have to multiply the monomial by every term of the polynomial. For example:

a (b + c + d) = ab + ac + ad

More generally, when you multiply together two polynomials, you have to multiply each term in one polynomial by each term of the other polynomial; for example:

(a + b)(c + d) = ac + ad + bc + bd

All this can be derived from the distributive property (just apply the distributive property repeatedly).

Q: Do you use the distributive property with a monomial and a polynomial?

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Sentence example:The distributive property is a property that is equivalent to the distributing expression[i.e, x(x + 5) = x^2 + 5x)]I learned about distributive property in school yesterday.Hell I don't know that's why I asked youall

12*56 Use the distributive property on 12: (10+2)*56 = 10*56 + 2*56 Use the distributive property on 56 twice: 10*(50+6) + 2*(50+6) = 10*50 + 10*6 + 2*50 + 2*6 = 500 + 60 + 100 + 12 = 672

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The property that multiplication is distributive over addition means that a*(b+c) = (a*b) + (a*c) The usufulness of this property can be illustrated by the following example: 8*(102) = 8*(100+2) = (8*100) + (8*2) = 800 + 16 = 816. So if you split 102 into 100 and 2, and then use the distributive property, you do not need to work with a large number such as 102.

Related questions

to multiplya polynomial by a monomial,use the distributive property and then combine like terms.

what rules for ordering computions with numbers does the order of operstions convention provide, why is having an order important

distributive property for (11-3)=

no because distributive property is for multiple digit numbers.

72.divided 4 in distributive property

You don't. The distributive property involves at least three numbers.

A monomial is a special case of a polynomial which contains only one term. To identify a particular term of a polynomial (in x), we use the name associated with the power of x contained in a term. 3 + √7 is a monomial of zero degree which has a special name such as a constant polynomial. Let's rewrite it as, 3x0 + (√2)x0 = (3 + √7)x0 , a monomial with an irrational coefficient = (3 + √7)(1) = 3 + √7.

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no

according to commutative property both the distributive laws are equal why to use two distributive laws

Basically, an expression is not a polynomial when anything is done that is not allowed in a polynomial - for example, use any variable in the denominator of a monomial, use non-integral powers or radicals (which is basically the same as a non-integral power), use functions, etc.

(40+200)+(5+80)