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Sure! Let's rewrite the expression [tex]\(2u(p+7) + 3(p+7)\)[/tex] in completely factored form. Here is a detailed, step-by-step solution:
1. Identify the Common Factor: Notice that both terms in the expression [tex]\(2u(p+7) + 3(p+7)\)[/tex] contain the common factor [tex]\((p+7)\)[/tex].
2. Factor Out the Common Term: We can factor out the common term [tex]\((p+7)\)[/tex] from both parts of the expression.
So the expression becomes: [tex]\[
(p+7)(2u + 3)
\][/tex]
Therefore, the fully factored form of the expression [tex]\(2u(p+7) + 3(p+7)\)[/tex] is: [tex]\[
(p+7)(2u + 3)
\][/tex]
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