(2xy)-as-a-sum.jpeg "(7x)(2xy) As A Sum")
Expressing (7x)(2xy) as a sum
The expression (7x)(2xy) represents the product of two monomials: 7x and 2xy. To express this product as a sum, we need to understand the distributive property of multiplication.
The Distributive Property
The distributive property states that multiplying a sum by a number is the same as multiplying each term of the sum by the number and then adding the products together.
Applying the Distributive Property
In our case, we can treat 2xy as a single term. Applying the distributive property, we get:
(7x)(2xy) = 7x * (2xy)
Now, we can multiply the coefficients and the variables separately:
7x * (2xy) = (7 * 2) * (x * x * y)
Simplifying the Expression
Simplifying the multiplication, we get:
(7 * 2) * (x * x * y) = 14x²y
Therefore, the expression (7x)(2xy) can be expressed as the sum 14x²y. This form emphasizes the coefficient and the variables, making it easier to understand the individual components of the expression.