(9 x 1) + (9 x 4) = 9 x 5 = 45
You can use the distributive property to factor the expression (2l + 2w). By factoring out the common factor of 2, you can rewrite the expression as (2(l + w)). This shows that the sum of (2l) and (2w) can be expressed as twice the sum of (l) and (w).
To reduce a mathematical expression, you simplify it by factoring, canceling common terms, or combining like terms. For fractions, you can find the greatest common divisor (GCD) of the numerator and denominator to simplify. In algebraic expressions, look for common factors and use properties like the distributive property to condense the expression. Always ensure the final form is in its simplest terms.
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.
The distributive property allows us to simplify expressions by distributing a term across a sum or difference. When factoring a polynomial, we can reverse this process by identifying common factors in each term of the polynomial. For example, in the expression ( ax + ay ), we can factor out ( a ) to get ( a(x + y) ). This reveals the common factor and simplifies the polynomial into a product of its factors.
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.
An unnecessary one. 42 + 96 = 138
(6 x 7) + (6 x 16) = 6 x 23 = 138
The GCF is 16.
(21 x 2) + (25 x 2) = 46 x 2 = 92
(4 x 4) + (4 x 9) = 4 x 13 = 52
The GCF is 6.
The GCF of 24 and 30 is 6. The distributive property states that 24 x 30 = (20 x 30) + (4 x 30)
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.
You need at least two numbers to find a GCF.
18 + 24 = (3 x 6) + (4 x 6) = 7 x 6 = 42
You can use the distributive property to factor the expression (2l + 2w). By factoring out the common factor of 2, you can rewrite the expression as (2(l + w)). This shows that the sum of (2l) and (2w) can be expressed as twice the sum of (l) and (w).
The GCF is 18. The Distributive property states that 36 x (50 + 4) = (36 x 50) + (36 x 4)