Question Simplify the expression m6−12m4+48m2−64 Evaluate (m2−4)3Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression (m2)3−3(m2)2×4+3m2×42−43Solution m6−12m4+48m2−64 Show Solution Factor the expression (m−2)3(m+2)3 Evaluate (m2−4)3Use a2−b2=(a−b)(a+b) to factor the expression ((m−2)(m+2))3Solution (m−2)3(m+2)3 Show Solution Find the roots m1=−2,m2=2 Evaluate (m2−4)3To find the roots of the expression,set the expression equal to 0 (m2−4)3=0The only way a power can be 0 is when the base equals 0 m2−4=0Move the constant to the right-hand side and change its sign m2=0+4Removing 0 doesn't change the value,so remove it from the expression m2=4Take the root of both sides of the equation and remember to use both positive and negative roots m=±4Simplify the expression More Steps Evaluate 4Write the number in exponential form with the base of 2 22Reduce the index of the radical and exponent with 2 2 m=±2Separate the equation into 2 possible cases m=2m=−2Solution m1=−2,m2=2 Show Solution