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].
