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Write the expression in complete factored form.

[tex]\[
4u^2(a-3) + q(a-3) = \square
\][/tex]

Enter the correct answer below.

Sagot :

GinnyAnswer
To write the expression [tex]\(4u^2(a - 3) + q(a - 3)\)[/tex] in complete factored form, follow these steps:

1. Identify the common factor in both terms of the expression. Here, both terms [tex]\(4u^2(a - 3)\)[/tex] and [tex]\(q(a - 3)\)[/tex] share a common factor of [tex]\((a - 3)\)[/tex].

2. Factor out [tex]\((a - 3)\)[/tex] from both terms:
[tex]\[ 4u^2(a - 3) + q(a - 3) = (a - 3)(4u^2) + (a - 3)q \][/tex]

3. Combine the remaining terms inside the parentheses:
[tex]\[ (a - 3)(4u^2 + q) \][/tex]

Therefore, the completely factored form of the expression [tex]\(4u^2(a - 3) + q(a - 3)\)[/tex] is:
[tex]\[ \boxed{(a - 3)(q + 4u^2)} \][/tex]
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