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27x + 3 use distibutive law to factor

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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.


What is the distributive law?

according to commutative property both the distributive laws are equal why to use two distributive laws


What are the laws of arithmetic?

there are 3 laws of arithmetic. These are Associative law, Distributive Law and Cummutative law.


What is the property of 3x7 plus 2 equals 3x7 plus 3x2?

3(7 + 2) = 3x7 + 3x2 is an example of the distributive law.The distributive law connects multiplication and addition.


When you use the distributive property do you use multiplication or addition?

The distributive property uses both operations. As usual with this sort of thing, it's best to start with an example. Let's say you are asked to multiply in your head the numbers 6 and 17. Very few of us have memorized our multiplication tables up to 17, so we're stuck doing a mental calculation. One easy way of doing it is to use the distributive law. Here's how. If you wish to multiply 17 by 6, first think of 17 as the sum of 10 and 7. That is to say, 17 = 10 + 7. Now, just multiply the 10 by 6 (to get 60) and the 7 by 6 (to get 42). Now add those two products to get 102 (60 + 42). In mathematical terms, 6 x 17 = 6 x (10 + 7) = 6 x 10 + 6 x 7 = 102. You have "distributed" the 6 over the 10 and 7. So the distributive property uses both addition and multiplication, because it is a law that addresses both operations to begin with.

Related Questions

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.


Can multiplication be distributive over subtraction?

Multiplication can be the first step when using the distributive property with subtraction. The distributive law of multiplication over subtraction is that the difference of the subtraction problem and then multiply, or multiply each individual products and then find the difference.


What is the distributive law?

according to commutative property both the distributive laws are equal why to use two distributive laws


What are the laws of arithmetic?

there are 3 laws of arithmetic. These are Associative law, Distributive Law and Cummutative law.


How do you solve discrete series by grouping?

You will need to use the distributive law to solve discrete series by grouping. The distributive law is a(b + c) = ab + ac. You will be removing the common factors as you go.


Why their is no law for distributive property of multiplication over subtraction?

First, the word is there, not their. And, apart from you, who says there is no such law? because a*(b - c) = a*b - a*c and if that isn't the distributive property of multiplication over subtraction I don't know what is!


How do you simplify (2d-7)3?

This expression is as simple as it can be.Assuming you are multiplying by 3, an alternate way of writing it would be to open the parentheses (using the distributive law). But that won't be any simpler.


What is thr proof of distributive law in vectors?

two numbers multiply one another


When you individually multiply the numbers inside the parentheses by the factor outside the parentheses what are you applying?

the distributive law


What is the math distribution law?

Distributive: a x (b + c) = (a x b) + (a x c)


What is the algebraic sum of the voltages round a loop in a circuit?

Use Kirchoff's law.


What is the property of 3x7 plus 2 equals 3x7 plus 3x2?

3(7 + 2) = 3x7 + 3x2 is an example of the distributive law.The distributive law connects multiplication and addition.