Question Simplify the expression 64s2+80s+25 Evaluate (−8s−5)2A negative base raised to an even power equals a positive (8s+5)2Use (a+b)2=a2+2ab+b2 to expand the expression (8s)2+2×8s×5+52Solution 64s2+80s+25 Show Solution Find the roots s=−85Alternative Form s=−0.625 Evaluate (−8s−5)2To find the roots of the expression,set the expression equal to 0 (−8s−5)2=0The only way a power can be 0 is when the base equals 0 −8s−5=0Move the constant to the right-hand side and change its sign −8s=0+5Removing 0 doesn't change the value,so remove it from the expression −8s=5Change the signs on both sides of the equation 8s=−5Divide both sides 88s=8−5Divide the numbers s=8−5Solution s=−85Alternative Form s=−0.625 Show Solution
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