Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
d−d3
Evaluate
d×1−d2×d
Any expression multiplied by 1 remains the same
d−d2×d
Solution
More Steps
Evaluate
d2×d
Use the product rule an×am=an+m to simplify the expression
d2+1
Add the numbers
d3
d−d3
Show Solution
Factor the expression
d(1−d)(1+d)
Evaluate
d×1−d2×d
Any expression multiplied by 1 remains the same
d−d2×d
Evaluate
More Steps
Evaluate
d2×d
Use the product rule an×am=an+m to simplify the expression
d2+1
Add the numbers
d3
d−d3
Factor out d from the expression
d(1−d2)
Solution
More Steps
Evaluate
1−d2
Rewrite the expression in exponential form
12−d2
Use a2−b2=(a−b)(a+b) to factor the expression
(1−d)(1+d)
d(1−d)(1+d)
Show Solution
Find the roots
d1=−1,d2=0,d3=1
Evaluate
d×1−d2×d
To find the roots of the expression,set the expression equal to 0
d×1−d2×d=0
Any expression multiplied by 1 remains the same
d−d2×d=0
Multiply the terms
More Steps
Evaluate
d2×d
Use the product rule an×am=an+m to simplify the expression
d2+1
Add the numbers
d3
d−d3=0
Factor the expression
d(1−d2)=0
Separate the equation into 2 possible cases
d=01−d2=0
Solve the equation
More Steps
Evaluate
1−d2=0
Move the constant to the right-hand side and change its sign
−d2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−d2=−1
Change the signs on both sides of the equation
d2=1
Take the root of both sides of the equation and remember to use both positive and negative roots
d=±1
Simplify the expression
d=±1
Separate the equation into 2 possible cases
d=1d=−1
d=0d=1d=−1
Solution
d1=−1,d2=0,d3=1
Show Solution