Question

Which expression is equivalent to 25(25+15)?

2
5
(
25
x
+
15
y
)
?
A. 5x + 3y
B. 10x + 3y
C. 10x + 6y
D. 15x + 6y

Answer 1

A. 5x + 3y

Explanation:

25(25x + 15y)

25(25x) + 25(15y)

multiply the values in the bracket by 25

25 • 25x + 25 • 15y

625x + 375y

Find the Greatest Common Factor (GCF) of 625 and 375, if it exists, and reduce our fraction by dividing both numerator and denominator by it. GCF = 125,

=625÷125/375÷125=5/3 = 5x + 3y

5x + 3y