Expand 74(8h+3)

3 answers

To expand 74(8h+3), we use the distributive property, which states that for any three numbers a, b, and c, a(b + c) = ab + ac.

So, applying the distributive property, we have:

74(8h + 3) = 74 * 8h + 74 * 3

= 592h + 222

So, the expanded form of 74(8h+3) is 592h + 222.
Expand 7/4(8h+3)
To expand 7/4(8h+3), we use the distributive property, which states that for any two numbers a and b and a third number c, a(b + c) = ab + ac.

So, applying the distributive property, we have:

7/4(8h + 3) = (7/4) * 8h + (7/4) * 3

To simplify further, we can multiply each term separately:

= (7/4) * (8h) + (7/4) * (3)

= (7 * 8h) / 4 + (7 * 3) / 4

= 56h / 4 + 21 / 4

Now, we can combine like terms by adding the numerators:

= (56h + 21) / 4

So, the expanded form of 7/4(8h+3) is (56h + 21) / 4.