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4. $2c^2 + 6c - 4$ for $c = 10$

Question

  1. $2c^2 + 6c - 4$ for $c = 10$

Explanation:

Step1: Substitute \( c = 10 \) into the expression

Substitute \( c = 10 \) into \( 2c^2 + 6c - 4 \), we get \( 2\times(10)^2 + 6\times10 - 4 \).

Step2: Calculate the exponent

First, calculate \( (10)^2 = 100 \), so the expression becomes \( 2\times100 + 6\times10 - 4 \).

Step3: Perform the multiplications

Calculate \( 2\times100 = 200 \) and \( 6\times10 = 60 \), then the expression is \( 200 + 60 - 4 \).

Step4: Perform the additions and subtractions

First, \( 200 + 60 = 260 \), then \( 260 - 4 = 256 \).

Answer:

256