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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 can you write equivalent expressions with Greatest common factor and the distributive property?

Suppose x and y are two terms with GCF k where the assumption (in this context) is that k is greater than 1. That implies that x = pk and y = qk where p and q are coprime terms. Then x + y = pk + qk and, using the distributive property, this is k*(p + q).


What is the equivalent expression for(24a 56b)?

The expression ( (24a + 56b) ) can be factored by finding the greatest common factor (GCF) of the coefficients. The GCF of 24 and 56 is 8, so the equivalent expression can be factored as ( 8(3a + 7b) ).


Which expressions uses the greatest common factor and distributive property to find 36 plus 48?

(3 x 12) + (4 x 12) = 7 x 12 = 84


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


What is 2x plus 8y use the greatest common factor and the distributive property to write equivalent expression factored form?

Does it look like I fing care Jesus


What is the greatest common factor of 142 and 72?

72 is factored into: 2*2*2*3*3 142 factored into: 2*71 Their greatest common factor is just 2


When is the greatest common factor also one of the two numbers being factored?

The greatest common factor is also one of the two numbers being factored when that number is a factor of the other one.


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


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 greatest common factor of 32 and 48 using the distributive property?

The GCF is 16.


What is the greatest common factor of 28 plus 20 distributive?

4(7 + 5)