Expand the Expression: Step-by-Step Solution for (a+4)(c+3)

(a+4)(c+3)= (a+4)(c+3)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Open parentheses properly, multiply each factor by each factor
00:20 Calculate the multiplications
00:35 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

(a+4)(c+3)= (a+4)(c+3)=

2

Step-by-step solution

When we encounter a multiplication exercise of this type, we know that we must use the distributive property.

Step 1: Multiply the first factor of the first parentheses by each of the factors of the second parentheses.

Step 2: Multiply the second factor of the first parentheses by each of the factors of the second parentheses.

Step 3: Group like terms.

a * (c+3) =

a*c + a*3

4 * (c+3) =

4*c + 4*3

ac+3a+4c+12

There are no like terms to simplify here, so this is the solution!

3

Final Answer

ac+3a+4c+12 ac+3a+4c+12

Practice Quiz

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\( (3+20)\times(12+4)= \)

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