Q. Use the distributive property to write an equivalent expression.4(4k−7m+10)Answer:
Apply Distributive Property: The distributive property states that a(b+c)=ab+ac. We will apply this property to each term inside the parentheses, multiplying each by 4.
Multiply 4 by 4k: First, multiply 4 by 4k: 4×4k=16k.
Multiply 4 by −7m: Next, multiply 4 by −7m: 4×−7m=−28m.
Multiply 4 by 10: Finally, multiply 4 by 10: 4×10=40.
Combine Products: Combine all the products to write the equivalent expression: 16k−28m+40.