Question

Which expression is equivalent to 15x−35?

a) 3x(5−7)
b) 3(7−25)
c) 3(5x−7)
d) 3(25−7x)

Answer 1

The equivalent expression to 15x−35 is 3(5x−7), which is option c). This is found by factoring out the greatest common factor of 15 and 35.

Step-by-step explanation:

The expression equivalent to 15x−35 is 3(5x−7), which corresponds to option c). To find an equivalent expression, we look for a common factor in the terms of the given expression. In this case, both 15 and 35 are divisible by 5, and if we factor out the greatest common factor which is 5 times 3, we get:

15x − 35 = 5 × 3 × x − 5 × 7 = 5(3x − 7) = 3(5x − 7).