Why can you simplify 5(5+30) using the distributive property?why can't u simplify 5(50)+3 using the distributive property?

I meant 5 (50+3)

on the first, 5 is multiplied by (5+30). On the second, the 3 is NOT multiplied by 5.

ok, I see now.

YOu can simplify 5(5+30) because there is a common factor in the parenthesis (5+30)=5(1+6)
so the 5(5+30) becomes 5*5*(1+6)

Now on the second, 5(50+3), there is no common factor between 50, and 3. So it cannot be simplified.

Ahh thanks!!

It helped a lot

i need a example of the distributive property using the number 6,8 and 10?

i have a homework

The distributive property states that for any numbers a, b, and c, the expression a(b + c) can be simplified by distributing the value of a to both b and c individually.

Let's first look at the expression 5(5+30):
Using the distributive property, we distribute the value of 5 to both 5 and 30, resulting in:
5 * 5 + 5 * 30 = 25 + 150 = 175.

Now let's consider the expression 5(50) + 3:
Using the distributive property, we would distribute the value of 5 to both 50 and 3 individually. However, in this case, there is no addition or subtraction within the parentheses, which means there is no need to apply the distributive property.

Therefore, we cannot further simplify 5(50) + 3 using the distributive property because there is no addition or subtraction to distribute the value of 5 to. Instead, we can simply evaluate the multiplication: 5 * 50 + 3 = 250 + 3 = 253.