Arithmetic Expression Simplification

MathematicsOrder of OperationsEasy

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$$2 \cdot 3 \cdot 6 - 2 \cdot 4 \cdot 5 - 3 \cdot 2 \cdot 9$$

This question includes visual content: The image contains an arithmetic expression '2 ⋅ 3 ⋅ 6 - 2 ⋅ 4 ⋅ 5 - 3 ⋅ 2 ⋅ 9'. Below the expression, there are faint, hand-drawn pencil arches connecting the first two terms (2⋅3) and the last two terms (2⋅9), along with some illegible faint handwritten numbers below the expressions.

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Step by Step Written Solution

1
Step 1

Merhaba Talha, seninle birlikte bu matematiksel ifadeyi adım adım hesaplayalım.

İşlem Önceliği ve Çarpma İşlemi

2
Step 2

Öncelikle verilen ifadeyi olduğu gibi yazalım.

$$2 \cdot 3 \cdot 6 - 2 \cdot 4 \cdot 5 - 3 \cdot 2 \cdot 9$$
3
Step 3

İfade üç ayrı çarpım teriminden ve bunları birbirine bağlayan çıkarma işlemlerinden oluşuyor. İlk terim olan iki çarpı üç çarpı altı işlemini hesaplayalım.

4
Step 4

İki kere üç, altı eder. Altı ile altıyı çarptığımızda ise otuz altı elde ederiz.

$$2 \cdot 3 \cdot 6 = 36$$
5
Step 5

Şimdi ikinci terim olan iki çarpı dört çarpı beş işlemini yapalım. İki kere dört sekiz, sekiz kere beş ise kırk eder.

$$2 \cdot 4 \cdot 5 = 40$$

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About This Question

Subject
Mathematics
Topic
Order of Operations
Difficulty
Easy

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