Question Simplify the expression 4n2−4n+1 Evaluate (2(n×1)−1)2Remove the parentheses (2n×1−1)2Multiply the terms (2n−1)2Use (a−b)2=a2−2ab+b2 to expand the expression (2n)2−2×2n×1+12Solution 4n2−4n+1 Show Solution Find the roots n=21Alternative Form n=0.5 Evaluate (2(n×1)−1)2To find the roots of the expression,set the expression equal to 0 (2(n×1)−1)2=0Any expression multiplied by 1 remains the same (2n−1)2=0The only way a power can be 0 is when the base equals 0 2n−1=0Move the constant to the right-hand side and change its sign 2n=0+1Removing 0 doesn't change the value,so remove it from the expression 2n=1Divide both sides 22n=21Solution n=21Alternative Form n=0.5 Show Solution
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