Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
12x4−12
Evaluate
x3×12x−12
Solution
More Steps
Evaluate
x3×12x
Multiply the terms with the same base by adding their exponents
x3+1×12
Add the numbers
x4×12
Use the commutative property to reorder the terms
12x4
12x4−12
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Factor the expression
12(x−1)(x+1)(x2+1)
Evaluate
x3×12x−12
Evaluate
More Steps
Evaluate
x3×12x
Multiply the terms with the same base by adding their exponents
x3+1×12
Add the numbers
x4×12
Use the commutative property to reorder the terms
12x4
12x4−12
Factor out 12 from the expression
12(x4−1)
Factor the expression
More Steps
Evaluate
x4−1
Rewrite the expression in exponential form
(x2)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(x2−1)(x2+1)
12(x2−1)(x2+1)
Solution
More Steps
Evaluate
x2−1
Rewrite the expression in exponential form
x2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(x−1)(x+1)
12(x−1)(x+1)(x2+1)
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Find the roots
x1=−1,x2=1
Evaluate
x3×12x−12
To find the roots of the expression,set the expression equal to 0
x3×12x−12=0
Multiply
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Multiply the terms
x3×12x
Multiply the terms with the same base by adding their exponents
x3+1×12
Add the numbers
x4×12
Use the commutative property to reorder the terms
12x4
12x4−12=0
Move the constant to the right-hand side and change its sign
12x4=0+12
Removing 0 doesn't change the value,so remove it from the expression
12x4=12
Divide both sides
1212x4=1212
Divide the numbers
x4=1212
Divide the numbers
More Steps
Evaluate
1212
Reduce the numbers
11
Calculate
1
x4=1
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±41
Simplify the expression
x=±1
Separate the equation into 2 possible cases
x=1x=−1
Solution
x1=−1,x2=1
Show Solution