Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−4x3−4
Evaluate
−x2×4x−4
Solution
More Steps
Evaluate
−x2×4x
Multiply the terms with the same base by adding their exponents
−x2+1×4
Add the numbers
−x3×4
Use the commutative property to reorder the terms
−4x3
−4x3−4
Show Solution
Factor the expression
−4(x+1)(x2−x+1)
Evaluate
−x2×4x−4
Evaluate
More Steps
Evaluate
x2×4x
Multiply the terms with the same base by adding their exponents
x2+1×4
Add the numbers
x3×4
Use the commutative property to reorder the terms
4x3
−4x3−4
Factor out −4 from the expression
−4(x3+1)
Solution
More Steps
Evaluate
x3+1
Rewrite the expression in exponential form
x3+13
Use a3+b3=(a+b)(a2−ab+b2) to factor the expression
(x+1)(x2−x×1+12)
Any expression multiplied by 1 remains the same
(x+1)(x2−x+12)
1 raised to any power equals to 1
(x+1)(x2−x+1)
−4(x+1)(x2−x+1)
Show Solution
Find the roots
x=−1
Evaluate
−x2×4x−4
To find the roots of the expression,set the expression equal to 0
−x2×4x−4=0
Multiply
More Steps
Multiply the terms
x2×4x
Multiply the terms with the same base by adding their exponents
x2+1×4
Add the numbers
x3×4
Use the commutative property to reorder the terms
4x3
−4x3−4=0
Move the constant to the right-hand side and change its sign
−4x3=0+4
Removing 0 doesn't change the value,so remove it from the expression
−4x3=4
Change the signs on both sides of the equation
4x3=−4
Divide both sides
44x3=4−4
Divide the numbers
x3=4−4
Divide the numbers
More Steps
Evaluate
4−4
Reduce the numbers
1−1
Calculate
−1
x3=−1
Take the 3-th root on both sides of the equation
3x3=3−1
Calculate
x=3−1
Solution
More Steps
Evaluate
3−1
An odd root of a negative radicand is always a negative
−31
Simplify the radical expression
−1
x=−1
Show Solution