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Write the expression in complete factored form.

[tex]\[ 2u(p + 7) + 3(p + 7) = \][/tex]
[tex]\[ \square \][/tex]

Sagot :

GinnyAnswer
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]

And that’s the complete factored form.
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