Question Factor the expression −(m2+e)(m2−e) Evaluate e2−m4Use a2−b2=(a−b)(a+b) to factor the expression (−m2−e)(m2−e)Solution −(m2+e)(m2−e) Show Solution Find the roots m1=−e,m2=eAlternative Form m1≈−1.648721,m2≈1.648721 Evaluate e2−m4To find the roots of the expression,set the expression equal to 0 e2−m4=0Move the constant to the right-hand side and change its sign −m4=0−e2Removing 0 doesn't change the value,so remove it from the expression −m4=−e2Change the signs on both sides of the equation m4=e2Take the root of both sides of the equation and remember to use both positive and negative roots m=±4e2Simplify the expression m=±eSeparate the equation into 2 possible cases m=em=−eSolution m1=−e,m2=eAlternative Form m1≈−1.648721,m2≈1.648721 Show Solution
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