Question

Use the distributive property to write an equivalent expression. 10(n-4p+6).

a) 10n - 40p + 60
b) 10n - 4p + 60
c) 10n - 4p - 60
d) 10n - 4p - 6

Answer 1

To write an equivalent expression using the distributive property, distribute the multiplication of 10 to each term inside the parenthesis. The correct answer is a) 10n - 40p + 60.

Step-by-step explanation:

To write an equivalent expression using the distributive property, you need to distribute the multiplication of 10 to each term inside the parenthesis.

So, 10(n-4p+6) becomes 10n - 40p + 60.

To use the distributive property to write an equivalent expression for 10(n-4p+6), you must distribute the 10 across each term inside the parentheses. This involves multiplying the 10 by n, by -4p, and by 6. Here are the steps:

Multiply 10 by n: 10 × n = 10n

Multiply 10 by -4p: 10 × -4p = -40p

Multiply 10 by 6: 10 × 6 = 60

Therefore, the correct answer is option a) 10n - 40p + 60.