16 + 28 = (4 x 4) + (4 x 7) = 4 x 11 = 44
45 + 30 (GCF = 15) = 15*3 + 15*2 = 15(3 + 2)
16 + 28 = (4 x 4) + (7 x 4) = 11 x 4 = 44
40 + 44 = (4 x 10) + (4 x 11) = 4 x 21 = 84
The GCF of 20 and 35 is 5. That makes 20 + 35 (4 x 5) + (7 x 5) = 11 x 5, a needlessly complicated way of saying that 20 + 35 = 55
Pick a pair of numbers. Let's try 30 and 42. Their GCF is 6. 6 x 5 and 6 x 7 By the distributive property, that can be written as 6(5 + 7)
16 + 28 = (4 x 4) + (7 x 4) = 11 x 4 = 44
45 + 30 (GCF = 15) = 15*3 + 15*2 = 15(3 + 2)
49
5 x 5 = 25
4(5 + 9)
42 + 63 = (2 x 21) + (3 x 21) = 5 x 21 = 105
The distributive property is a red herring for this question: you do not need it! The distributive property is applicable when you have two binary operations - multiplication and addition, for example. This question has nothing of the sort. Perhaps you meant some other property.
To write a simplified expression in factored form, first, identify common factors in the expression. Use techniques such as grouping, the distributive property, or factoring patterns (like difference of squares or trinomials) to rewrite the expression. Ensure that the expression is simplified by combining like terms before factoring. Finally, express the result as a product of its factors.
21 = 3(7) = 3(2+5)
The distributive property states that when you multiply a number by a sum, you can distribute the multiplication across the terms of the sum. For example, to apply the distributive property to the expression 24 + 40, you might express it as 24 + 40 = 24 + (30 + 10) = (24 + 30) + 10. However, in this case, the distributive property isn't directly applicable since there is no multiplication involved. If you wanted to use the property, you would need to introduce a multiplication factor, such as expressing 2(24 + 40).
(2 x 12) + (3 x 12) = 5 x 12
As it stands, 16*102 has no distributive property. The distributive property is a property that multiplication has over addition. It is, therefore, necessary for the question to have a multiplicative components and an additive component.So, if you chose to write 102 as (100 + 2) then the question becomes16*(100 + 2)and THEN the distributive property can be used to express that as16*100 + 16*2You could, equally go for(10 + 6)*102 = 10*102 + 6*102Or split either number into any other convenient form of addition.