Question Simplify the expression 225x2−30x4+x6 Evaluate (15x−x3)2Use (a−b)2=a2−2ab+b2 to expand the expression (15x)2−2×15x×x3+(x3)2Solution 225x2−30x4+x6 Show Solution Factor the expression x2(15−x2)2 Evaluate (15x−x3)2Factor the expression More Steps Evaluate 15x−x3Rewrite the expression x×15−x×x2Factor out x from the expression x(15−x2) (x(15−x2))2Solution x2(15−x2)2 Show Solution Find the roots x1=−15,x2=0,x3=15Alternative Form x1≈−3.872983,x2=0,x3≈3.872983 Evaluate (15x−x3)2To find the roots of the expression,set the expression equal to 0 (15x−x3)2=0The only way a power can be 0 is when the base equals 0 15x−x3=0Factor the expression x(15−x2)=0Separate the equation into 2 possible cases x=015−x2=0Solve the equation More Steps Evaluate 15−x2=0Move the constant to the right-hand side and change its sign −x2=0−15Removing 0 doesn't change the value,so remove it from the expression −x2=−15Change the signs on both sides of the equation x2=15Take the root of both sides of the equation and remember to use both positive and negative roots x=±15Separate the equation into 2 possible cases x=15x=−15 x=0x=15x=−15Solution x1=−15,x2=0,x3=15Alternative Form x1≈−3.872983,x2=0,x3≈3.872983 Show Solution