Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
16y7−16y6
Evaluate
(4y−4)×4y6
Multiply the terms
4y6(4y−4)
Apply the distributive property
4y6×4y−4y6×4
Multiply the terms
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Evaluate
4y6×4y
Multiply the numbers
16y6×y
Multiply the terms
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Evaluate
y6×y
Use the product rule an×am=an+m to simplify the expression
y6+1
Add the numbers
y7
16y7
16y7−4y6×4
Solution
16y7−16y6
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Factor the expression
16y6(y−1)
Evaluate
(4y−4)×4y6
Multiply the terms
4y6(4y−4)
Factor the expression
4y6×4(y−1)
Solution
16y6(y−1)
Show Solution
Find the roots
y1=0,y2=1
Evaluate
(4y−4)(4y6)
To find the roots of the expression,set the expression equal to 0
(4y−4)(4y6)=0
Multiply the terms
(4y−4)×4y6=0
Multiply the terms
4y6(4y−4)=0
Elimination the left coefficient
y6(4y−4)=0
Separate the equation into 2 possible cases
y6=04y−4=0
The only way a power can be 0 is when the base equals 0
y=04y−4=0
Solve the equation
More Steps
Evaluate
4y−4=0
Move the constant to the right-hand side and change its sign
4y=0+4
Removing 0 doesn't change the value,so remove it from the expression
4y=4
Divide both sides
44y=44
Divide the numbers
y=44
Divide the numbers
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Evaluate
44
Reduce the numbers
11
Calculate
1
y=1
y=0y=1
Solution
y1=0,y2=1
Show Solution