Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
48p3−12p2
Evaluate
(8p−2)×6p2
Multiply the terms
6p2(8p−2)
Apply the distributive property
6p2×8p−6p2×2
Multiply the terms
More Steps
Evaluate
6p2×8p
Multiply the numbers
48p2×p
Multiply the terms
More Steps
Evaluate
p2×p
Use the product rule an×am=an+m to simplify the expression
p2+1
Add the numbers
p3
48p3
48p3−6p2×2
Solution
48p3−12p2
Show Solution
Factor the expression
12p2(4p−1)
Evaluate
(8p−2)×6p2
Multiply the terms
6p2(8p−2)
Factor the expression
6p2×2(4p−1)
Solution
12p2(4p−1)
Show Solution
Find the roots
p1=0,p2=41
Alternative Form
p1=0,p2=0.25
Evaluate
(8p−2)(6p2)
To find the roots of the expression,set the expression equal to 0
(8p−2)(6p2)=0
Multiply the terms
(8p−2)×6p2=0
Multiply the terms
6p2(8p−2)=0
Elimination the left coefficient
p2(8p−2)=0
Separate the equation into 2 possible cases
p2=08p−2=0
The only way a power can be 0 is when the base equals 0
p=08p−2=0
Solve the equation
More Steps
Evaluate
8p−2=0
Move the constant to the right-hand side and change its sign
8p=0+2
Removing 0 doesn't change the value,so remove it from the expression
8p=2
Divide both sides
88p=82
Divide the numbers
p=82
Cancel out the common factor 2
p=41
p=0p=41
Solution
p1=0,p2=41
Alternative Form
p1=0,p2=0.25
Show Solution