Question Simplify the expression 1−3b2+3b4−b6 Evaluate (1−b2)3Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression 13−3×12×b2+3×1×(b2)2−(b2)3Solution 1−3b2+3b4−b6 Show Solution Factor the expression (1−b)3(1+b)3 Evaluate (1−b2)3Use a2−b2=(a−b)(a+b) to factor the expression ((1−b)(1+b))3Solution (1−b)3(1+b)3 Show Solution Find the roots b1=−1,b2=1 Evaluate (1−b2)3To find the roots of the expression,set the expression equal to 0 (1−b2)3=0The only way a power can be 0 is when the base equals 0 1−b2=0Move the constant to the right-hand side and change its sign −b2=0−1Removing 0 doesn't change the value,so remove it from the expression −b2=−1Change the signs on both sides of the equation b2=1Take the root of both sides of the equation and remember to use both positive and negative roots b=±1Simplify the expression b=±1Separate the equation into 2 possible cases b=1b=−1Solution b1=−1,b2=1 Show Solution