Question
Simplify the expression
64y2−32y+4
Evaluate
(4y−1)×2(4y−1)×2
Multiply the terms
(4y−1)×4(4y−1)
Multiply the first two terms
4(4y−1)(4y−1)
Multiply the terms
4(4y−1)2
Expand the expression
More Steps

Evaluate
(4y−1)2
Use (a−b)2=a2−2ab+b2 to expand the expression
(4y)2−2×4y×1+12
Calculate
16y2−8y+1
4(16y2−8y+1)
Apply the distributive property
4×16y2−4×8y+4×1
Multiply the numbers
64y2−4×8y+4×1
Multiply the numbers
64y2−32y+4×1
Solution
64y2−32y+4
Show Solution

Find the roots
y=41
Alternative Form
y=0.25
Evaluate
(4y−1)×2(4y−1)×2
To find the roots of the expression,set the expression equal to 0
(4y−1)×2(4y−1)×2=0
Multiply the terms
More Steps

Multiply the terms
(4y−1)×2(4y−1)×2
Multiply the terms
(4y−1)×4(4y−1)
Multiply the first two terms
4(4y−1)(4y−1)
Multiply the terms
4(4y−1)2
4(4y−1)2=0
Rewrite the expression
(4y−1)2=0
The only way a power can be 0 is when the base equals 0
4y−1=0
Move the constant to the right-hand side and change its sign
4y=0+1
Removing 0 doesn't change the value,so remove it from the expression
4y=1
Divide both sides
44y=41
Solution
y=41
Alternative Form
y=0.25
Show Solution
