Question Simplify the expression 4m2+4m+1 Evaluate (−2m−1)2A negative base raised to an even power equals a positive (2m+1)2Use (a+b)2=a2+2ab+b2 to expand the expression (2m)2+2×2m×1+12Solution 4m2+4m+1 Show Solution Find the roots m=−21Alternative Form m=−0.5 Evaluate (−2m−1)2To find the roots of the expression,set the expression equal to 0 (−2m−1)2=0The only way a power can be 0 is when the base equals 0 −2m−1=0Move the constant to the right-hand side and change its sign −2m=0+1Removing 0 doesn't change the value,so remove it from the expression −2m=1Change the signs on both sides of the equation 2m=−1Divide both sides 22m=2−1Divide the numbers m=2−1Solution m=−21Alternative Form m=−0.5 Show Solution
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