213k views
5 votes
Simplify the product using the distributive property. Please show your

work.
(5h + 4)(4h + 7)

User Kotaro
by
4.1k points

2 Answers

5 votes

Answer:

20h^2 + 51h+28

Explanation:

We will apply the FOIL method (first, outer, inner, last)

(5h + 4)(4h + 7)

Multiply 5h by 4h, first values, to get 20h^2

Multiply 5h by 7, outer values, to get 35h

Multiply 4 by 4h, inner values, to get 16h

Multiply 4 by 7, last values, to get 28

Now we will add them all up to receive our answer

20h^2 + 35h + 16h + 28 = 20h^2 + 51h + 28

User Anthony Mastrean
by
4.3k points
3 votes

Answer:

9h² + 51h + 28

Explanation:

(5h + 4)(4h + 7)

=> 9h² + 35h + 16h + 28

=> 9h² + 51h + 28

Therefore, 9h² + 51h + 28 is the simplified expression.

Hoped this helped.

User Andrey E
by
4.5k points