Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2p+21p2
Evaluate
p×2−p(−1)p×21
Use the commutative property to reorder the terms
2p−p(−1)p×21
Multiply
More Steps
Multiply the terms
p(−1)p×21
Any expression multiplied by 1 remains the same
−p×p×21
Multiply the terms
−p2×21
Use the commutative property to reorder the terms
−21p2
2p−(−21p2)
Solution
2p+21p2
Show Solution
Factor the expression
21p(4+p)
Evaluate
p×2−p(−1)p×21
Use the commutative property to reorder the terms
2p−p(−1)p×21
Multiply
More Steps
Multiply the terms
p(−1)p×21
Any expression multiplied by 1 remains the same
−p×p×21
Multiply the terms
−p2×21
Use the commutative property to reorder the terms
−21p2
2p−(−21p2)
Rewrite the expression
2p+21p2
Rewrite the expression
21p×4+21p×p
Solution
21p(4+p)
Show Solution
Find the roots
p1=−4,p2=0
Evaluate
p×2−p(−1)p(21)
To find the roots of the expression,set the expression equal to 0
p×2−p(−1)p(21)=0
Remove the unnecessary parentheses
p×2−p(−1)p×21=0
Use the commutative property to reorder the terms
2p−p(−1)p×21=0
Multiply
More Steps
Multiply the terms
p(−1)p×21
Any expression multiplied by 1 remains the same
−p×p×21
Multiply the terms
−p2×21
Use the commutative property to reorder the terms
−21p2
2p−(−21p2)=0
Rewrite the expression
2p+21p2=0
Factor the expression
More Steps
Evaluate
2p+21p2
Rewrite the expression
21p×4+21p×p
Factor out 21p from the expression
21p(4+p)
21p(4+p)=0
When the product of factors equals 0,at least one factor is 0
21p=04+p=0
Solve the equation for p
p=04+p=0
Solve the equation for p
More Steps
Evaluate
4+p=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=−4,p2=0
Show Solution