24 + 36 = (2 x 12) + (3 x 12) = 5 x 12 = 60
9(1 + 4)
b.
9(4 + 5)
(5 x 5) + (5 x 16) = 5 x 21 = 105
It is not possible to give a sensible answer to this question. The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You have only one number in the question! It does not matter whether you use the distributive or any other property; something that does not exist cannot be found!
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.
The distributive property is not related to finding equivalent fractions. The distributive property is a rule that states a(b + c) is equal to ab + ac. It is used to simplify expressions and perform operations like multiplication or addition. To find an equivalent fraction, you would need to multiply or divide the numerator and denominator by the same nonzero number.
28ab
Yes.
10(2k + 5)
It means to replace an expression by another one that is equivalent, but simpler. For example: 3x + 5x can be written as: 8x because of the distributive property.
The distributive property of multiplication lets you simplify expressions wherein you multiply a number by a sum or difference. According to this property, the product of a sum or difference of a number is equal to the sum or difference of the products.
90
This expression is an example of the Distributive Property. The expression a(b+c) = ab +ac is true because of the Distributive Property.
2k + 10 is an expression. The distributive property is a property of one binary operation (typically multiplication, or right-division) over another (addition or subtraction) for elements of a set (numbers); not a property of expressions.
If you mean: 5(x-4) = 5x-20 then both expressions are equivalent