Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
12u4−12u3
Evaluate
4u3(3u−3)
Apply the distributive property
4u3×3u−4u3×3
Multiply the terms
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Evaluate
4u3×3u
Multiply the numbers
12u3×u
Multiply the terms
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Evaluate
u3×u
Use the product rule an×am=an+m to simplify the expression
u3+1
Add the numbers
u4
12u4
12u4−4u3×3
Solution
12u4−12u3
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Factor the expression
12u3(u−1)
Evaluate
4u3(3u−3)
Factor the expression
4u3×3(u−1)
Solution
12u3(u−1)
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Find the roots
u1=0,u2=1
Evaluate
(4u3)(3u−3)
To find the roots of the expression,set the expression equal to 0
(4u3)(3u−3)=0
Multiply the terms
4u3(3u−3)=0
Elimination the left coefficient
u3(3u−3)=0
Separate the equation into 2 possible cases
u3=03u−3=0
The only way a power can be 0 is when the base equals 0
u=03u−3=0
Solve the equation
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Evaluate
3u−3=0
Move the constant to the right-hand side and change its sign
3u=0+3
Removing 0 doesn't change the value,so remove it from the expression
3u=3
Divide both sides
33u=33
Divide the numbers
u=33
Divide the numbers
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Evaluate
33
Reduce the numbers
11
Calculate
1
u=1
u=0u=1
Solution
u1=0,u2=1
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