You do not need the distributive property for to do that!
10h + 14h = 2h(5 + 7) = 2h x 12 = 24h
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
"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
Technically those are two different things that you must do when dealing with algebra. For example: 3(3a+2b)+4a First you use the distributive property with the 3(3a+2b). If there is a coefficient on the inside of the parentheses then you multiply it by the number on the outside of the parentheses. After doing so, the algebraic sentence would become: 9a+6b+4a Then when you combine like terms, or when two terms have the same variable, therefore, can be combined, you take the sign in front of the like terms along with them. So you would take the addition sign along with 9a and 4a, meaning you add them together. Then the algebraic sentence would become: 13a+6b (Hint: Always list the variables alphabetically, so 13a would come before 6b.)
Say the Question is 3(2y+5) Multiply both terms in the brackets by 3 so (3x2y)+(3x5) = 6y+15
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
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.
a(b + c) = ab + ac
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
To be picky, the distributive property is about multiplication, but division is defined in terms of multiplication, so your question can be answered!Say you have (6xy+15y)/(3y). The distributive property will say this is equal to 6xy/3y + 15y/3y = 2x + 5.Notice that the "/3y" has been distributed onto each term inside the parentheses.
You look for a common factor between the two terms, take it out, and use 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
Related terms
Suppose x and y are two terms with GCF k where the assumption (in this context) is that k is greater than 1. That implies that x = pk and y = qk where p and q are coprime terms. Then x + y = pk + qk and, using the distributive property, this is k*(p + q).