Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
9r4−9r3
Evaluate
3r3(3r−3)
Apply the distributive property
3r3×3r−3r3×3
Multiply the terms
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Evaluate
3r3×3r
Multiply the numbers
9r3×r
Multiply the terms
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Evaluate
r3×r
Use the product rule an×am=an+m to simplify the expression
r3+1
Add the numbers
r4
9r4
9r4−3r3×3
Solution
9r4−9r3
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Factor the expression
9r3(r−1)
Evaluate
3r3(3r−3)
Factor the expression
3r3×3(r−1)
Solution
9r3(r−1)
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Find the roots
r1=0,r2=1
Evaluate
(3r3)(3r−3)
To find the roots of the expression,set the expression equal to 0
(3r3)(3r−3)=0
Multiply the terms
3r3(3r−3)=0
Elimination the left coefficient
r3(3r−3)=0
Separate the equation into 2 possible cases
r3=03r−3=0
The only way a power can be 0 is when the base equals 0
r=03r−3=0
Solve the equation
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Evaluate
3r−3=0
Move the constant to the right-hand side and change its sign
3r=0+3
Removing 0 doesn't change the value,so remove it from the expression
3r=3
Divide both sides
33r=33
Divide the numbers
r=33
Divide the numbers
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Evaluate
33
Reduce the numbers
11
Calculate
1
r=1
r=0r=1
Solution
r1=0,r2=1
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