Question

Use distribution to match the equivalent terms in the expression 4(a + b).

A) 4a + 4b
B) 4a + b
C) 4ab
D) 4ab + 4b

Answer 1

The application of the distributive property to the expression 4(a + b) results in 4a + 4b, which matches option A) 4a + 4b.

Step-by-step explanation:

To find the equivalent expression to 4(a + b), we use the distributive property of multiplication over addition. This property states that A(B + C) = AB + AC. Applying this to our expression, we distribute the 4 to both a and b, which yields 4a + 4b.

Therefore, when we use distribution to match the equivalent terms in the expression 4(a + b), we get the result 4a + 4b, which corresponds to option A) 4a + 4b.