Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x6−x7
Evaluate
(x×1×x3)(x2−x3)
Remove the parentheses
x×1×x3(x2−x3)
Rewrite the expression
x×x3(x2−x3)
Multiply the terms with the same base by adding their exponents
x1+3(x2−x3)
Add the numbers
x4(x2−x3)
Apply the distributive property
x4×x2−x4×x3
Multiply the terms
More Steps
Evaluate
x4×x2
Use the product rule an×am=an+m to simplify the expression
x4+2
Add the numbers
x6
x6−x4×x3
Solution
More Steps
Evaluate
x4×x3
Use the product rule an×am=an+m to simplify the expression
x4+3
Add the numbers
x7
x6−x7
Show Solution
Factor the expression
x6(1−x)
Evaluate
(x×1×x3)(x2−x3)
Remove the parentheses
x×1×x3(x2−x3)
Multiply the terms
More Steps
Evaluate
x×1×x3
Rewrite the expression
x×x3
Use the product rule an×am=an+m to simplify the expression
x1+3
Add the numbers
x4
x4(x2−x3)
Factor the expression
More Steps
Evaluate
x2−x3
Rewrite the expression
x2−x2×x
Factor out x2 from the expression
x2(1−x)
x4×x2(1−x)
Solution
x6(1−x)
Show Solution
Find the roots
x1=0,x2=1
Evaluate
(x×1×x3)(x2−x3)
To find the roots of the expression,set the expression equal to 0
(x×1×x3)(x2−x3)=0
Multiply the terms
More Steps
Multiply the terms
x×1×x3
Rewrite the expression
x×x3
Use the product rule an×am=an+m to simplify the expression
x1+3
Add the numbers
x4
x4(x2−x3)=0
Separate the equation into 2 possible cases
x4=0x2−x3=0
The only way a power can be 0 is when the base equals 0
x=0x2−x3=0
Solve the equation
More Steps
Evaluate
x2−x3=0
Factor the expression
x2(1−x)=0
Separate the equation into 2 possible cases
x2=01−x=0
The only way a power can be 0 is when the base equals 0
x=01−x=0
Solve the equation
More Steps
Evaluate
1−x=0
Move the constant to the right-hand side and change its sign
−x=0−1
Removing 0 doesn't change the value,so remove it from the expression
−x=−1
Change the signs on both sides of the equation
x=1
x=0x=1
x=0x=0x=1
Find the union
x=0x=1
Solution
x1=0,x2=1
Show Solution