Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3p5−9p4
Evaluate
p4(p−3)×3
Use the commutative property to reorder the terms
3p4(p−3)
Apply the distributive property
3p4×p−3p4×3
Multiply the terms
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Evaluate
p4×p
Use the product rule an×am=an+m to simplify the expression
p4+1
Add the numbers
p5
3p5−3p4×3
Solution
3p5−9p4
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Find the roots
p1=0,p2=3
Evaluate
(p4)(p−3)×3
To find the roots of the expression,set the expression equal to 0
(p4)(p−3)×3=0
Calculate
p4(p−3)×3=0
Use the commutative property to reorder the terms
3p4(p−3)=0
Elimination the left coefficient
p4(p−3)=0
Separate the equation into 2 possible cases
p4=0p−3=0
The only way a power can be 0 is when the base equals 0
p=0p−3=0
Solve the equation
More Steps
Evaluate
p−3=0
Move the constant to the right-hand side and change its sign
p=0+3
Removing 0 doesn't change the value,so remove it from the expression
p=3
p=0p=3
Solution
p1=0,p2=3
Show Solution