Question Factor the expression (z2−2)(z2+2) Evaluate z4−4Rewrite the expression in exponential form (z2)2−22Solution (z2−2)(z2+2) Show Solution Find the roots z1=−2,z2=2Alternative Form z1≈−1.414214,z2≈1.414214 Evaluate z4−4To find the roots of the expression,set the expression equal to 0 z4−4=0Move the constant to the right-hand side and change its sign z4=0+4Removing 0 doesn't change the value,so remove it from the expression z4=4Take the root of both sides of the equation and remember to use both positive and negative roots z=±44Simplify the expression More Steps Evaluate 44Write the number in exponential form with the base of 2 422Reduce the index of the radical and exponent with 2 2 z=±2Separate the equation into 2 possible cases z=2z=−2Solution z1=−2,z2=2Alternative Form z1≈−1.414214,z2≈1.414214 Show Solution
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