Question

Factor the expression 4x+32. Explain each step you take in the process.

Answer 1

`\Huge \boxed{\boxed{\bf{4(x + 8)}}}`

Explanation:

Factoring Expressions

Factoring an expression is the process of breaking it down into simpler terms or factors. It involves finding numbers or variables that can be multiplied together to obtain the original expression.

When we factor an expression, we can think of it as putting brackets around certain parts of the expression. These brackets help us group terms together and show that they are connected.

Answering the Question

Step 1: Find the greatest common factor (GCF) of the terms
`\tt{4x}` and
`\tt{32}`.

The GCF of
`\tt{4x}` and
`\tt{32}` is 4.

Step 2: Place the GCF outside the brackets.

`\large \boxed{\texttt{4(to be calculated)}}`

Step 3: Divide each term of original expression by the GCF.

We do:

• 
  `\tt{4x / 4 = x}`

• 
  `\tt{32 / 4 = 8}`

Step 4: Write the simplified expression inside the brackets.

• 
  `\texttt{4(to be calculated)}`

• 
  `\tt{4(x + 8)}`

So, the factored form of the expression
`\tt{4x + 32}` is
`\tt{4(x + 8)}`.

#BTH1

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