Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Simplify the expression:

[tex]\[ -3 + (-6)(-6u + (-7)) \][/tex]


Sagot :

Sure, let's simplify the given expression step-by-step:

Given expression:
[tex]$ -3 + -6(-6u + -7) $[/tex]

First, simplify inside the parentheses:
[tex]$ -3 + -6(-6u - 7) $[/tex]

Next, distribute the [tex]\(-6\)[/tex] across the terms inside the parentheses:
[tex]$ -6 \cdot -6u + -6 \cdot -7 $[/tex]

Calculate these products individually:
[tex]$ -6 \cdot -6u = 36u $[/tex]
[tex]$ -6 \cdot -7 = 42 $[/tex]

So now we have:
[tex]$ -3 + 36u + 42 $[/tex]

Combine the constant terms [tex]\(-3\)[/tex] and [tex]\(42\)[/tex]:
[tex]$ -3 + 42 = 39 $[/tex]

Thus, the simplified expression is:
[tex]$ 36u + 39 $[/tex]