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What is 7x 7y as the distributive property?
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.
Can you use the distributive property to help you expand and factor expressions?
Yes.
How can you use properties to write equivalent expressions?
You can use properties such as the distributive property, associative property, and commutative property to write equivalent expressions. For example, the distributive property allows you to expand or factor expressions, like rewriting (a(b + c)) as (ab + ac). The commutative property enables you to change the order of terms, such as (a + b) becoming (b + a), while the associative property lets you regroup terms, such as ((a + b) + c) being rewritten as (a + (b + c)). By applying these properties, you can create different but equivalent forms of the same expression.
Which trinomial is equivalent to (3x-2)(x 4)?
To find the equivalent trinomial, we need to expand the expression ((3x - 2)(x + 4)). Using the distributive property (FOIL method), we have: [ 3x \cdot x + 3x \cdot 4 - 2 \cdot x - 2 \cdot 4 = 3x^2 + 12x - 2x - 8. ] Combining like terms, the equivalent trinomial is (3x^2 + 10x - 8).
How can properties help to write equivalent algenraic expressions?
Properties of algebra, such as the distributive, associative, and commutative properties, allow us to manipulate and rearrange algebraic expressions to create equivalent forms. For example, the distributive property enables us to expand expressions, while the associative property lets us regroup terms. By applying these properties, we can simplify complex expressions or rewrite them in a different format without changing their value, making it easier to solve equations or analyze relationships. This flexibility is essential in algebra for various applications, including solving equations and simplifying calculations.
How do you use distributive property to expand the following expression. -2(2.1x plus 3y - 1.8)?
-4.2x - 6y + 3.6
What is 7x 7y as the distributive property?
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.
How do you use distributive property to expand this expression -2(2.1x plus 3y - 1.8)?
-4.2x - 6y + 3.6
Can you use the distributive property to help you expand and factor expressions?
Yes.
How do you expand a power?
To expand a power, use the distributive property and multiply the base by itself the number of times indicated by the exponent. For example, to expand (x+2)^3, multiply (x+2) by itself three times using the distributive property.
How can you use properties to write equivalent expressions?
You can use properties such as the distributive property, associative property, and commutative property to write equivalent expressions. For example, the distributive property allows you to expand or factor expressions, like rewriting (a(b + c)) as (ab + ac). The commutative property enables you to change the order of terms, such as (a + b) becoming (b + a), while the associative property lets you regroup terms, such as ((a + b) + c) being rewritten as (a + (b + c)). By applying these properties, you can create different but equivalent forms of the same expression.
How can you change parentheses to an equation?
To change parentheses to an equation, you need to first identify the expressions within the parentheses and the relationships between them. For example, if you have an expression like ( (x + 2) ), you can create an equation by setting it equal to another expression or a number, such as ( (x + 2) = 5 ). This transforms the expression into an equation that can be solved. Additionally, if the parentheses represent a grouping in a larger expression, you may need to apply the distributive property to expand it.
What is simplified form for 4(2z-1)-5z?
Expand: 8z-4-5z Collect like terms: 3z-4
How do you prove the distributive law?
The distributive law states that a*(b+c) = ab + ac for any real numbers a, b, and c. To prove this, you can use the properties of real numbers and basic algebraic manipulations. One common approach is to start with the left side of the equation, expand it using the distributive property of multiplication over addition, and then simplify both sides to show that they are equal.
Which trinomial is equivalent to (3x-2)(x 4)?
To find the equivalent trinomial, we need to expand the expression ((3x - 2)(x + 4)). Using the distributive property (FOIL method), we have: [ 3x \cdot x + 3x \cdot 4 - 2 \cdot x - 2 \cdot 4 = 3x^2 + 12x - 2x - 8. ] Combining like terms, the equivalent trinomial is (3x^2 + 10x - 8).
How do you expand a expression?
Expanding" means removing the ( ) but you have to do it the right way.
How can properties help to write equivalent algenraic expressions?
Properties of algebra, such as the distributive, associative, and commutative properties, allow us to manipulate and rearrange algebraic expressions to create equivalent forms. For example, the distributive property enables us to expand expressions, while the associative property lets us regroup terms. By applying these properties, we can simplify complex expressions or rewrite them in a different format without changing their value, making it easier to solve equations or analyze relationships. This flexibility is essential in algebra for various applications, including solving equations and simplifying calculations.
