Use the distributive property to solve:
(x+10)*(3x+2)
To solve the expression (x+10)(3x+2) using the distributive property, we need to distribute each term from the first expression (x+10) to each term in the second expression (3x+2).
Let's break it down step by step:
Step 1: Distribute the x term from (x+10) to each term in (3x+2).
(x+10)(3x+2) = x*(3x+2) + 10*(3x+2)
Step 2: Multiply x by each term in (3x+2).
x*(3x+2) = 3x^2 + 2x
Step 3: Multiply 10 by each term in (3x+2).
10*(3x+2) = 30x + 20
Step 4: Combine the results from step 2 and step 3.
3x^2 + 2x + 30x + 20
Step 5: Simplify the expression by combining like terms.
3x^2 + 32x + 20
Therefore, the simplified expression using the distributive property is 3x^2 + 32x + 20.