Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4x2−16x+64
Evaluate
(2x−4)2
Subtract the terms
More Steps
Simplify
2x−4
Reduce fractions to a common denominator
2x−24×2
Write all numerators above the common denominator
2x−4×2
Multiply the numbers
2x−8
(2x−8)2
Rewrite the expression
22(x−8)2
Simplify
4(x−8)2
Solution
More Steps
Evaluate
(x−8)2
Use (a−b)2=a2−2ab+b2 to expand the expression
x2−2x×8+82
Calculate
x2−16x+64
4x2−16x+64
Show Solution
Find the roots
x=8
Evaluate
(2x−4)2
To find the roots of the expression,set the expression equal to 0
(2x−4)2=0
Subtract the terms
More Steps
Simplify
2x−4
Reduce fractions to a common denominator
2x−24×2
Write all numerators above the common denominator
2x−4×2
Multiply the numbers
2x−8
(2x−8)2=0
The only way a power can be 0 is when the base equals 0
2x−8=0
Simplify
x−8=0
Move the constant to the right side
x=0+8
Solution
x=8
Show Solution