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Using the distributive law, find the value of [tex]\( 398 \times 63 - 234 \times 63 + 36 \times 63 \)[/tex].

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GinnyAnswer
To solve the expression [tex]\(398 \times 63 - 234 \times 63 + 36 \times 63\)[/tex] using the distributive law, follow these step-by-step instructions:

1. Express the given problem using the distributive property:
[tex]\[ 398 \times 63 - 234 \times 63 + 36 \times 63 = (398 - 234 + 36) \times 63 \][/tex]

2. Simplify the terms inside the parentheses:
[tex]\[ 398 - 234 = 164 \][/tex]
Adding the next term:
[tex]\[ 164 + 36 = 200 \][/tex]

3. Insert the simplified value back into the expression:
[tex]\[ (398 - 234 + 36) \times 63 = 200 \times 63 \][/tex]

4. Calculate the final result:
[tex]\[ 200 \times 63 = 12600 \][/tex]

So, the value of the expression [tex]\(398 \times 63 - 234 \times 63 + 36 \times 63\)[/tex] is [tex]\(12600\)[/tex].
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