Answer:
C. 3(2x + 5y) is the algebraic expression equivalent to the expression
Explanation:
From the question, the given expression is 6x + 15y.
Factorizing this expression gives 3(2x + 5y). Hence, the algebraic expression equivalent to the expression 6x + 15y is 3(2x + 5y). (Option C).
Checking the remaining options
A. 3(2x - 5y)
Expanding this gives 6x - 15y. It is not equivalent to the given expression
B. 3(5x - 2y)
Expanding this gives 15x - 6y. It is not equivalent to the given expression
D. 3(5x + 2y)
Expanding this gives 15x + 3y. It is not equivalent to the given expression.
Hence, C. 3(2x + 5y) is the algebraic expression equivalent to the expression.