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Use the distributive property to write an equivalent expression.

[tex]\[ 10(x + 10) \][/tex]

Answer:
[tex]\[ \square \][/tex]

Sagot :

GinnyAnsweridn
Sure, let's solve the given problem step-by-step using the distributive property.

Given the expression:
[tex]\[ 10(x + 10) \][/tex]

Step 1: Identify the parts of the expression.

Here, we have the number 10 which will be distributed over the addition inside the parentheses [tex]\( (x + 10) \)[/tex].

Step 2: Apply the distributive property.

The distributive property states that [tex]\( a(b + c) = ab + ac \)[/tex]. In our case, [tex]\( a = 10 \)[/tex], [tex]\( b = x \)[/tex], and [tex]\( c = 10 \)[/tex]. We need to multiply 10 by each term inside the parentheses separately.

Step 3: Multiply 10 by [tex]\( x \)[/tex].

[tex]\[ 10 \times x = 10x \][/tex]

Step 4: Multiply 10 by 10.

[tex]\[ 10 \times 10 = 100 \][/tex]

Step 5: Combine the results from steps 3 and 4.

[tex]\[ 10x + 100 \][/tex]

So, the expression [tex]\( 10(x + 10) \)[/tex] using the distributive property is written as:
[tex]\[ 10x + 100 \][/tex]

Therefore, the equivalent expression is:
[tex]\[ 10x + 100 \][/tex]
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