Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
8y2−16y
Evaluate
(4y×1)(2y−4)
Remove the parentheses
4y×1×(2y−4)
Any expression multiplied by 1 remains the same
4y(2y−4)
Apply the distributive property
4y×2y−4y×4
Multiply the terms
More Steps
Evaluate
4y×2y
Multiply the numbers
8y×y
Multiply the terms
8y2
8y2−4y×4
Solution
8y2−16y
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Factor the expression
8y(y−2)
Evaluate
(4y×1)(2y−4)
Remove the parentheses
4y×1×(2y−4)
Multiply the terms
4y(2y−4)
Factor the expression
4y×2(y−2)
Solution
8y(y−2)
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Find the roots
y1=0,y2=2
Evaluate
(4y×1)(2y−4)
To find the roots of the expression,set the expression equal to 0
(4y×1)(2y−4)=0
Multiply the terms
4y(2y−4)=0
Elimination the left coefficient
y(2y−4)=0
Separate the equation into 2 possible cases
y=02y−4=0
Solve the equation
More Steps
Evaluate
2y−4=0
Move the constant to the right-hand side and change its sign
2y=0+4
Removing 0 doesn't change the value,so remove it from the expression
2y=4
Divide both sides
22y=24
Divide the numbers
y=24
Divide the numbers
More Steps
Evaluate
24
Reduce the numbers
12
Calculate
2
y=2
y=0y=2
Solution
y1=0,y2=2
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