Simplify a(b+c): Using the Distributive Property in Algebra

It is possible to use the distributive property to simplify the expression

a(b+c) a(b+c)

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00:00 Simply
00:04 Open parentheses properly, multiply by each factor
00:10 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

It is possible to use the distributive property to simplify the expression

a(b+c) a(b+c)

2

Step-by-step solution

To solve the problem and apply the distributive property correctly, follow these steps:

  • Identify the expression, which is a(b+c) a(b+c) .
  • Apply the distributive property: multiply a a by each term inside the parentheses.

Applying this, we get:

  • a×b=ab a \times b = ab
  • a×c=ac a \times c = ac

Combine these two products:

The simplified expression is: ab+ac ab + ac .

This matches with answer choice 2: Yes, the answer ab+ac ab+ac .

3

Final Answer

Yes, the answer ab+ac ab+ac

Practice Quiz

Test your knowledge with interactive questions

It is possible to use the distributive property to simplify the expression below?

What is its simplified form?

\( (ab)(c d) \)

\( \)

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