Question
Simplify the expression
3p2−12p
Evaluate
(p−4)(3p×1)
Remove the parentheses
(p−4)×3p×1
Any expression multiplied by 1 remains the same
(p−4)×3p
Multiply the first two terms
3(p−4)p
Multiply the terms
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Evaluate
3(p−4)
Apply the distributive property
3p−3×4
Multiply the numbers
3p−12
(3p−12)p
Apply the distributive property
3p×p−12p
Solution
3p2−12p
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Find the roots
p1=0,p2=4
Evaluate
(p−4)(3p×1)
To find the roots of the expression,set the expression equal to 0
(p−4)(3p×1)=0
Multiply the terms
(p−4)×3p=0
Multiply the terms
3p(p−4)=0
Elimination the left coefficient
p(p−4)=0
Separate the equation into 2 possible cases
p=0p−4=0
Solve the equation
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Evaluate
p−4=0
Move the constant to the right-hand side and change its sign
p=0+4
Removing 0 doesn't change the value,so remove it from the expression
p=4
p=0p=4
Solution
p1=0,p2=4
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