12.5k views
14 votes
Expand & simplify

4
(
x
+
5
)
+
6
(
x
+
5
)

2 Answers

8 votes

Answer:

10x +50

Explanation:

4( x+5) + 6(x+5)

Distribute

4x+20 +6x+30

Combine like terms

4x+6x + 20 + 30

10x+50

User Marcus Griep
by
8.6k points
14 votes


\huge\text{Hey there!}


\large\boxed{\mathsf{4(x + 5) + 6(x + 5)}}


\huge\text{DISTRIBUTE 4 \& 6 WITHIN PARENTHESES}


\large\boxed{\mathsf{= 4(x) + 4(5) + 6(x) + 6(5)}}


\large\boxed{\mathsf{= 4x + 20 + 6x + 30}}



\huge\text{COMBINE the LIKE TERMS}


\large\boxed{\mathsf{= (4x + 6x) + (20 + 30)}}


\large\boxed{\mathsf{= 4x + 6x + 20 + 30}}


\large\boxed{\mathsf{= 10x + 50}}



\huge\text{Therefore, your answer is: \boxed{\mathsf{10x + 50}}}\huge\checkmark



\huge\text{Good luck on your assignment \& enjoy your day!}


~
\frak{Amphitrite1040:)}

User Corepress
by
8.3k points

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