expand 2/5c(5c+10)

Answer 1

To expand the expression 2/5c(5c+10), we can use the distributive property of multiplication over addition.

First, we distribute 2/5c to both terms inside the parentheses:

(2/5c)(5c) + (2/5c)(10)

Next, we multiply the numerators and the denominators separately:

(2/5)(5c/c) + (2/5)(10)

Simplifying the fraction in the first term:

(2/5)(5) + (2/5)(10)

Now, multiplying the numerators and denominators:

(10/5) + (20/5)

Both fractions have the same denominator, so we can add them:

10/5 + 20/5

Combining the numerators:

30/5

Finally, we can simplify the fraction:

6/1 or simply 6