Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 45 + 72? 3(15 + 24) 9(5 + 8) (5)(9) + (2)(36) (3)(15) + (8)(9)

First find the GCF of 45 and 72
45=3^2*5
72=2^3*3^2
The GCF is the greatest common factor between the two numbers (or expressions). In this case, the GCF is 3^2=9.

Next, breakdown 45 and 72 into products in which GCF=9 is a factor,
45=9(5)
72=9(8)

Finally, add the two expressions, and factor
45+72=9(5)+9(8)=9(5+8)

Answer Link

ayoushivt ayoushivt · Answer 2 · 2022-08-01T09:25:00+02:00

The expression obtained after factoring using the Distributive property is 9 ( 5+8), the correct option is B.

What is Distributive property?

According to the distributive property, the product of a number and the addend of two numbers is equal to the value obtained when the number is multiplied by each addend.

An expression is a mathematical statement that consists of variables, constants and mathematical operators.

The expression is, 45 +72

The factor of 45 and 72 is 3, and 9

The GCF is 9

The greatest common factor is the highest number that completely divides two or more given number.

The expression can be written as,

9 ( 5 + 8)

45 +72= 9 ( 5 + 8)

This has been factored using the Distributive property.

To know more about Distributive property

brainly.com/question/5637942

#SPJ5