Use the distributive property to write an equivalent expression
Y (u+7)
5t+6t+to
24+12s+12
7 (u+4+h)
look for common factors, either variables or numbers
24+12s+12 = 12(2+s+1) = 12(3+s)
or
24+12s+12 = 36+12s = 12(3+s)
or, distribute as usual
y(u+7) = y*u + y*7 = yu+7y
To use the distributive property, you need to distribute a number or variable outside of parentheses to each term inside the parentheses.
1. Y (u+7):
Distributing Y to both terms inside the parentheses, the equivalent expression is Y * u + Y * 7, which simplifies to Yu + 7Y.
2. 5t + 6t + to:
There isn't a specific number or variable outside the parentheses to distribute in this expression, so it is already simplified and cannot be further rewritten using the distributive property.
3. 24 + 12s + 12:
Similar to the previous example, there isn't a number or variable outside the parentheses that can be distributed. Therefore, the expression 24 + 12s + 12 is already simplified and cannot be rewritten using the distributive property.
4. 7 (u+4+h):
To distribute the 7 to the terms inside the parentheses, you would multiply 7 by each term: 7 * u + 7 * 4 + 7 * h. This simplifies to 7u + 28 + 7h, which is the equivalent expression.