Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
9y4−6y3+y2
Evaluate
(3y2−y×1)2
Any expression multiplied by 1 remains the same
(3y2−y)2
Use (a−b)2=a2−2ab+b2 to expand the expression
(3y2)2−2×3y2×y+y2
Solution
9y4−6y3+y2
Show Solution
Factor the expression
y2(3y−1)2
Evaluate
(3y2−y×1)2
Any expression multiplied by 1 remains the same
(3y2−y)2
Factor the expression
More Steps
Evaluate
3y2−y
Rewrite the expression
y×3y−y
Factor out y from the expression
y(3y−1)
(y(3y−1))2
Solution
y2(3y−1)2
Show Solution
Find the roots
y1=0,y2=31
Alternative Form
y1=0,y2=0.3˙
Evaluate
(3y2−y×1)2
To find the roots of the expression,set the expression equal to 0
(3y2−y×1)2=0
Any expression multiplied by 1 remains the same
(3y2−y)2=0
The only way a power can be 0 is when the base equals 0
3y2−y=0
Factor the expression
More Steps
Evaluate
3y2−y
Rewrite the expression
y×3y−y
Factor out y from the expression
y(3y−1)
y(3y−1)=0
When the product of factors equals 0,at least one factor is 0
y=03y−1=0
Solve the equation for y
More Steps
Evaluate
3y−1=0
Move the constant to the right-hand side and change its sign
3y=0+1
Removing 0 doesn't change the value,so remove it from the expression
3y=1
Divide both sides
33y=31
Divide the numbers
y=31
y=0y=31
Solution
y1=0,y2=31
Alternative Form
y1=0,y2=0.3˙
Show Solution