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Find the value of the following 972xx1...

Find the value of the following
`972xx16-972xx15`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem \( 972 \times 16 - 972 \times 15 \), we can follow these steps: ### Step 1: Identify the common factor We notice that both terms in the expression share a common factor, which is \( 972 \). ### Step 2: Factor out the common term We can factor \( 972 \) out of the expression: \[ 972 \times 16 - 972 \times 15 = 972 \times (16 - 15) \] ### Step 3: Simplify the expression inside the parentheses Now, we simplify the expression inside the parentheses: \[ 16 - 15 = 1 \] ### Step 4: Multiply by the common factor Now we can substitute back into the equation: \[ 972 \times (16 - 15) = 972 \times 1 \] ### Step 5: Calculate the final result Now we calculate the final result: \[ 972 \times 1 = 972 \] Thus, the value of \( 972 \times 16 - 972 \times 15 \) is \( 972 \). ### Final Answer: \[ \boxed{972} \] ---
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