The equivalent expression is 30x + 15y
Solution:
Given that we have to find the equivalent expression for given expression
Given expression is:
5(6x + 3y)
We can find the equivalent expression by using distributive property
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
By distributive property,
a(b + c) = ab + ac
Therefore, in given expression 5(6x + 3y), 5 can be multiplied with both 6x and 3y
[tex]\rightarrow 5(6x + 3y) = 5 \times 6x + 5 \times 3y[/tex]
Multiply the numbers and simplify
[tex]\rightarrow 5(6x + 3y) = 5 \times 6x + 5 \times 3y = 30x + 15y[/tex]
Thus the equivalent expression is 30x + 15y
