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Which answer choice results from using the distributive property to rewrite the expression below?

5(x + 8)

A. 5x + 40
B. 5x + 8
C. 5(8x)
D. 5 + 8x

Sagot :

GinnyAnsweridn
To solve this problem, we will use the distributive property. The distributive property states that for any numbers [tex]\(a\)[/tex], [tex]\(b\)[/tex], and [tex]\(c\)[/tex]:

[tex]\[ a(b + c) = ab + ac \][/tex]

Given the expression:

[tex]\[ 5(x + 8) \][/tex]

We need to distribute the 5 to both terms inside the parentheses, which means we'll multiply 5 by [tex]\(x\)[/tex] and then 5 by 8:

1. Multiply 5 by [tex]\(x\)[/tex]:

[tex]\[ 5 \cdot x = 5x \][/tex]

2. Multiply 5 by 8:

[tex]\[ 5 \cdot 8 = 40 \][/tex]

Now, we combine these two results:

[tex]\[ 5x + 40 \][/tex]

Therefore, the expression [tex]\(5(x + 8)\)[/tex] simplified using the distributive property is:

[tex]\[ 5x + 40 \][/tex]

So, the correct answer choice is:

[tex]\[ 5x + 40 \][/tex]
Amphitrite1040idn

Hey there!

5(x + 8)

DISTRIBUTE 5 WITHIN the PARENTHESES

= 5(x + 8)

= 5(x) + 5(8)

= 5x + 40


Therefore your answer should be:

Option A. 5x + 40


Good luck on your assignment & enjoy your day!



~Amphitrite1040

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