Rules for computing directly with radicals may also be used:

Distributive property Video transcript - [Voiceover] We're asked to apply the distributive property to factor out the greatest common factor, and we have 35 plus 50 is equal to, so let me get my scratch pad out. So we have 35 plus 50 is equal to, now what is the greatest common factor of 35 and So what's the largest whole number that's divisible into both of these.

Well I could write 35 as, let's see, I could write that as five times seven, and I could write 50 as five times ten, and so we see five is the greatest common factor. Seven and ten don't have any factors in common. So I could rewrite this, I could write 35 as equal to five times seven and I could rewrite 50 as equal to, get another color here, I could rewrite 50 as five times ten, and of course, I'm adding them, so I have plus right over here.

If I want, I could put parentheses, but order of operations would make me do the multiplication first, anyway. But now I want to factor out that greatest common factor.

I want to factor out the five. So what I'm really doing right over here is I'm unwinding the distributive property.

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So if I factor out a five, this is going to be equal to, this is going to be equal to let's factor out the five. Five times, so you do 35 divided by five, you're just left with the seven.

You're just left with the seven over here. So you're just left with the seven after you've factored out the five, and over here, you're just left with the ten. So five, or seven plus ten, and we're done. So let me now go and type that in.

So this is the same thing as five, five times seven plus ten. And you know you've factored out the greatest common factor because seven and ten don't have any factors in common anymore.

They're called relatively prime. They have no factors in common other than one. So we could now check that. Let's do a couple more of these. Apply the distributive property to factor out the greatest common factor.Use the sum of cubes identity to find the factors of the expression [tex]8x^{6} +27y^{3}[/tex].

Write your answer in the form of the expression on the right of . The Distributive Property: Where a, b and c are any real numbers. First, let me remind you what it means when two letters are right next to each other in math.

This is an Algebra thing! When two things are next to each other, it means multiplication! To explain why 4(x 1 y) is also equal to 4x 1 4y, you can use the distributive property. Or, you could factor 4 x 1 4 y to get 4(x 1 y).

You can also evaluate expressions to see if they are equivalent. We can use the distributive property to either multiply terms through, or factor terms out. For instance, if we are confronted with 13x + 4x, we can use the One is better oﬀ simply leaving an expression of the form 2(x + 1)2 as it is.

Similarly, and since we can apply equivalent arithmetic. Standard(s): plombier-nemours.com1 Use the Distributive Property to expand the expression 6(5x – 3).

Write the answer in the form. We also use the distributive property to solve in the opposite order. 99 + 63 = 9 x 11 + 9 x 7 = 9(11 + 7) = 9(18) Not matter how you use it, the distributive property helps us the rewrite expressions in a new equivalent form that can be used to help us to solve.

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) Use the distributive Property to simplify the expression . (-1)(4 - c) A. 4 -