Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4d3−4d2
Evaluate
(2d−2)×2d2
Multiply the terms
2d2(2d−2)
Apply the distributive property
2d2×2d−2d2×2
Multiply the terms
More Steps
Evaluate
2d2×2d
Multiply the numbers
4d2×d
Multiply the terms
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Evaluate
d2×d
Use the product rule an×am=an+m to simplify the expression
d2+1
Add the numbers
d3
4d3
4d3−2d2×2
Solution
4d3−4d2
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Factor the expression
4d2(d−1)
Evaluate
(2d−2)×2d2
Multiply the terms
2d2(2d−2)
Factor the expression
2d2×2(d−1)
Solution
4d2(d−1)
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Find the roots
d1=0,d2=1
Evaluate
(2d−2)(2d2)
To find the roots of the expression,set the expression equal to 0
(2d−2)(2d2)=0
Multiply the terms
(2d−2)×2d2=0
Multiply the terms
2d2(2d−2)=0
Elimination the left coefficient
d2(2d−2)=0
Separate the equation into 2 possible cases
d2=02d−2=0
The only way a power can be 0 is when the base equals 0
d=02d−2=0
Solve the equation
More Steps
Evaluate
2d−2=0
Move the constant to the right-hand side and change its sign
2d=0+2
Removing 0 doesn't change the value,so remove it from the expression
2d=2
Divide both sides
22d=22
Divide the numbers
d=22
Divide the numbers
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Evaluate
22
Reduce the numbers
11
Calculate
1
d=1
d=0d=1
Solution
d1=0,d2=1
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