You do not need the distributive property for to do that!
In the distributive property, 86 can be used as a constant multiplier to distribute across a sum or difference of two or more terms. For example, if you have the expression 86(x + y), you would distribute the 86 across both the x and y terms within the parentheses to get 86x + 86y. This demonstrates how the distributive property allows you to simplify expressions by distributing a constant across terms within parentheses.
A lot of times simplifying equations can be really easy, depending on how many numbers you have however the main thing that you want to do is combine like terms meaning combine the numbers with the same variable then move on to the rest of the problem. However if you have a bigger problem then you want to use the distributive property, and example of that would be: 4(8 + 2) ...but in distributive property would also be the same as (4 * 8) + (4 * 2)
The DISTRIBUTIVE property is a property of multiplication over addition (or subtraction). In symbolic terms, it states that a * (b + c) = a * b + a * c
When using the distributive property to write an expression, you do not simplify within the parentheses before applying the property. The distributive property involves multiplying the term outside the parentheses by each term inside the parentheses. Once you have distributed the term, you can then simplify the resulting expression by combining like terms. Simplifying before distributing would result in an incorrect application of the distributive property.
"Like terms" are terms that have the same variables, but possibly with different numbers. "Collect" means to put them together - add the numbers. For example, in an expression such as: 5x + 3y - 2x You can combine the "x" terms: (5x - 2x) + 3y and add the numbers (this is justified by the distributive property: (5x - 2x) + 3y = (5 - 2)x + 3y = 3x + 3y
You just multiply the term to the polynomials and you combine lije terms
to multiplya polynomial by a monomial,use the distributive property and then combine like terms.
Expand: 8z-4-5z Collect like terms: 3z-4
a(b + c) = ab + ac
You don't use a 'property" to combine like terms, you use an "operation". To combine like terms, use the following operations:Addition: 4x+3x=7xSubtraction: 4x-3x=1x=xMultiplication/Division:4x = 2x + y-2x + 4x = 2x + y -2x2x = y1/2 * 2x = y * 1/2x = y/2check: x,y=(10,20)4*10 = 2*10+2040 = 20+2040 = 40 = true==============You are absolutely right! I stand corrected: But if the asker wants to know, it is the distributive property of like terms which makes combing them possible as illustrated in the examples, above. Thanks.-----You can use the distributive property to combine like terms.For example, take 3x+5x. By using the distributive property, this is the same as x(3+5). Since 3+5=8, the sum of 3x and 5x is 8x.
To rewrite ( 2(n + 2n) ) using the distributive property, you distribute the 2 across the terms inside the parentheses. This gives you ( 2 \cdot n + 2 \cdot 2n ), which simplifies to ( 2n + 4n ). Finally, you can combine like terms to get ( 6n ). Thus, ( 2(n + 2n) = 6n ).
In the distributive property, 86 can be used as a constant multiplier to distribute across a sum or difference of two or more terms. For example, if you have the expression 86(x + y), you would distribute the 86 across both the x and y terms within the parentheses to get 86x + 86y. This demonstrates how the distributive property allows you to simplify expressions by distributing a constant across terms within parentheses.
A lot of times simplifying equations can be really easy, depending on how many numbers you have however the main thing that you want to do is combine like terms meaning combine the numbers with the same variable then move on to the rest of the problem. However if you have a bigger problem then you want to use the distributive property, and example of that would be: 4(8 + 2) ...but in distributive property would also be the same as (4 * 8) + (4 * 2)
To simplify using the distributive property, you distribute a number or variable outside a set of parentheses to each term inside the parentheses. For example, if you have the expression 3(x + 2), you would distribute the 3 to both x and 2 to get 3x + 6. This helps you combine like terms and simplify the expression further.
The DISTRIBUTIVE property is a property of multiplication over addition (or subtraction). In symbolic terms, it states that a * (b + c) = a * b + a * c
To expand the expression 7x(7y) using the distributive property, you distribute the 7x to both terms inside the parentheses. This results in 7x * 7y = 49xy. The distributive property allows you to multiply each term inside the parentheses by the term outside the parentheses, simplifying the expression.
When using the distributive property to write an expression, you do not simplify within the parentheses before applying the property. The distributive property involves multiplying the term outside the parentheses by each term inside the parentheses. Once you have distributed the term, you can then simplify the resulting expression by combining like terms. Simplifying before distributing would result in an incorrect application of the distributive property.