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Use the greatest common factor and the distributive property to write equivalent expressions in factored form. 13ab + 15ab?

28ab


How do you write a simplified expression in factored form?

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.


What is the equivalent expression using the greatest common factor and the distributive property of 42 and 50?

(21 x 2) + (25 x 2) = 46 x 2 = 92


What is the factor 48x plus 8?

The expression 48x + 8 can be factored by finding the greatest common factor of the two terms, which in this case is 8. Therefore, we can rewrite the expression as 8(6x + 1). This is the factored form of 48x + 8.


Which kind of expression uses the greatest common factor and the distributive property to find 42 plus 96?

An unnecessary one. 42 + 96 = 138


What is 16 plus 28 using distributive property to express the sum with the greatest common factor factored out?

16 + 28 = (4 x 4) + (4 x 7) = 4 x 11 = 44


How do you factor 4y² plus 28xy?

The greatest common factor in the two terms is [ 4y ].The factored form of the expression is4y (y + 7x)


Which expression uses the greatest common factor and distributive property to find 42 96?

(6 x 7) + (6 x 16) = 6 x 23 = 138


Eliott was trying to factor 6x²-18. He found that the greatest common factor of these terms was 6 and made an area model?

To factor the expression 6x² - 18, you can start by finding the greatest common factor (GCF) of the terms. In this case, the GCF is indeed 6. So, you can factor 6 out of both terms: 6x² - 18 = 6(x² - 3) Now, you have factored out the 6, and you're left with the expression inside the parentheses, which is x² - 3. Eliott's area model represents the factored expression as follows: Width: 6 Length: x² - 3 So, the width of Eliott's area model is 6, and the length is x² - 3. This represents the factored form of the expression.


Which expression uses the Greatest common factor and distributive property to find 9 plus 36?

(9 x 1) + (9 x 4) = 9 x 5 = 45


How can you use your knowledge of greatest common factors and the distributive property to write equivalent expressions?

Using my knowledge of greatest common factors and the distributive property, I can tell that 45 + 63 is equal to 9(5 + 7) or 9 x 12, which is 108. Of course, I could also tell that from my knowledge of addition.


How do you factor 81r plus 48rt?

To factor the expression 81r + 48rt, we first find the greatest common factor of the two terms, which is 3r. We then factor out this common factor to get 3r(27 + 16t). This is the factored form of the expression 81r + 48rt.