Expand: 5(3x + 4)a)15x + 4b)15x + 20c)8x + 15d)12x + 5Correct answer i...
Understanding the Expression
To solve the expression 5(3x + 4), we need to expand it using the distributive property. This means we will multiply each term inside the parentheses by the number outside the parentheses.
Step-by-Step Expansion
- Start with the expression:
5(3x + 4)
- Apply the distributive property:
5 * 3x + 5 * 4
- Calculate each multiplication:
15x + 20
Final Result
The expanded expression is:
15x + 20
Identifying the Correct Option
Now, let's compare our result with the given options:
- a) 15x + 4
- b) 15x + 20
- c) 8x + 15
- d) 12x + 5
From our expansion, we see that the correct answer is:
Option B: 15x + 20
Conclusion
In conclusion, by using the distributive property, we have successfully expanded the expression and identified the correct answer. Always remember to multiply each term inside the parentheses by the factor outside to avoid mistakes!
Expand: 5(3x + 4)a)15x + 4b)15x + 20c)8x + 15d)12x + 5Correct answer i...
5(3x + 4) = 5 × 3x + 5 × 4 = 15x + 20