Question

question
use the distributive property to write an equivalent expression.
10(10x + 7y - 6)

Explanation:

Step1: Recall distributive property

The distributive property is \( a(b + c - d)=ab + ac - ad \). Here, \( a = 10 \), \( b = 10x \), \( c = 7y \), \( d = 6 \).

Step2: Apply distributive property

Multiply 10 with each term inside the parentheses:
\( 10\times10x+10\times7y - 10\times6 \)

Step3: Simplify each term

\( 10\times10x = 100x \), \( 10\times7y=70y \), \( 10\times6 = 60 \). So the expression becomes \( 100x + 70y-60 \).

Answer:

\( 100x + 70y - 60 \)