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How do you write a simplified expression in factored form?
To write a simplified expression in factored form, first identify common factors or patterns such as differences of squares, perfect squares, or the distributive property. Next, factor out the greatest common factor (GCF) if applicable. Then, look for any further factorization opportunities, such as factoring trinomials or using methods like grouping. Finally, rewrite the expression as a product of its factors, ensuring that it is in its simplest form.
How do i use the distributive property?
To use the distributive property, multiply the term outside the parentheses by each term inside the parentheses. For example, in the expression ( a(b + c) ), you would calculate it as ( ab + ac ). This property helps simplify expressions and solve equations by distributing a common factor across terms. It's particularly useful when dealing with addition or subtraction within parentheses.
What is the distributive property and the GCF for 20 plus 32?
The distributive property states that for any real numbers a, b, and c, a(b + c) = ab + ac. In this case, applying the distributive property to 20 + 32, we get 1(20) + 1(32) = 20 + 32. The greatest common factor (GCF) for 20 and 32 is 4, as 4 is the largest number that divides both 20 and 32 evenly without leaving a remainder.
How can you write equivalent expressions with Greatest common factor and the distributive property?
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).
What is the GCF of An Expression?
Greatest Common Factor .... largest expression which (evenly) divides into the given expressions.
Which kind of expression uses the greatest common factor and the distributive property to find 42 plus 96?
An unnecessary one. 42 + 96 = 138
Which expression uses the greatest common factor and distributive property to find 42 96?
(6 x 7) + (6 x 16) = 6 x 23 = 138
What is the greatest common factor of 32 and 48 using the distributive property?
The GCF is 16.
What is the equivalent expression using the greatest common factor and the distributive property of 42 and 50?
(21 x 2) + (25 x 2) = 46 x 2 = 92
Which expression uses the greatest common factor and the distributive property to write 16 plus 36 as a product?
(4 x 4) + (4 x 9) = 4 x 13 = 52
Which expression uses the greatest common factor and distributive property to find 7 and 42?
The GCF is 6.
What is the greatest common factor and distributive property of 24 30?
The GCF of 24 and 30 is 6. The distributive property states that 24 x 30 = (20 x 30) + (4 x 30)
What is the greatest common factor using distributive property of 20?
You need at least two numbers to find a GCF.
Which expression uses the greatest common factor and distributive property to find 8 plus W?
The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. YOu have only one term "8 + W" in the question so there cannot be a GCF. It is not possible to find any factor (other than 1 and 8 + W, itself, without further information about W.The distributive property has no relevance to this question.
Which expression uses the greatest common factor and distributive property to write 18 plus 24 as a product?
18 + 24 = (3 x 6) + (4 x 6) = 7 x 6 = 42
What is the greatest common factor of 36 and 54 using the distributive property?
The GCF is 18. The Distributive property states that 36 x (50 + 4) = (36 x 50) + (36 x 4)
How can you use your knowledge of greatest common factors and the distributive property to write equivalent expressions?
Using my knowledge of greatest common factors and the distributive property, I can tell that 45 + 63 is equal to 9(5 + 7) or 9 x 12, which is 108. Of course, I could also tell that from my knowledge of addition.
