Question
Simplify the expression
12y6−12y5
Evaluate
2(y−1)×3×2y5
Multiply the terms
More Steps

Evaluate
2×3×2
Multiply the terms
6×2
Multiply the numbers
12
12(y−1)y5
Multiply the terms
12y5(y−1)
Apply the distributive property
12y5×y−12y5×1
Multiply the terms
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Evaluate
y5×y
Use the product rule an×am=an+m to simplify the expression
y5+1
Add the numbers
y6
12y6−12y5×1
Solution
12y6−12y5
Show Solution

Find the roots
y1=0,y2=1
Evaluate
2(y−1)×3(2y5)
To find the roots of the expression,set the expression equal to 0
2(y−1)×3(2y5)=0
Multiply the terms
2(y−1)×3×2y5=0
Multiply
More Steps

Multiply the terms
2(y−1)×3×2y5
Multiply the terms
More Steps

Evaluate
2×3×2
Multiply the terms
6×2
Multiply the numbers
12
12(y−1)y5
Multiply the terms
12y5(y−1)
12y5(y−1)=0
Elimination the left coefficient
y5(y−1)=0
Separate the equation into 2 possible cases
y5=0y−1=0
The only way a power can be 0 is when the base equals 0
y=0y−1=0
Solve the equation
More Steps

Evaluate
y−1=0
Move the constant to the right-hand side and change its sign
y=0+1
Removing 0 doesn't change the value,so remove it from the expression
y=1
y=0y=1
Solution
y1=0,y2=1
Show Solution
