(3n+6)⋅3+(2n+2)⋅4

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (3n+6)⋅3+(2n+2)⋅4

This article aims to guide you through simplifying the algebraic expression (3n+6)⋅3+(2n+2)⋅4. We will utilize the distributive property and combine like terms to achieve a simplified form.

Applying the Distributive Property

The distributive property states that for any numbers a, b, and c:

• a(b+c) = ab + ac

We will apply this property to both parts of our expression:

• (3n+6)⋅3 = 3n⋅3 + 6⋅3 = 9n + 18
• (2n+2)⋅4 = 2n⋅4 + 2⋅4 = 8n + 8

Combining Like Terms

Now we have:

(3n+6)⋅3+(2n+2)⋅4 = 9n + 18 + 8n + 8

We can combine the terms with 'n' and the constant terms:

= (9n + 8n) + (18 + 8)

= 17n + 26

Final Simplified Form

Therefore, the simplified form of the expression (3n+6)⋅3+(2n+2)⋅4 is 17n + 26.