Factorize:) 3x^5-48x^3
Answers
Step-by-step explanation:
Factor 3x5−48x3
3x5−48x3
=3x3(x+4)(x−4)
Answer:
3x3(x+4)(x−4)
Answer:
Simplifying
3x5 + -48x3 = 0
Reorder the terms:
-48x3 + 3x5 = 0
Solving
-48x3 + 3x5 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '3x3'.
3x3(-16 + x2) = 0
Factor a difference between two squares.
3x3((4 + x)(-4 + x)) = 0
Ignore the factor 3.
Set the factor 'x3' equal to zero and attempt to solve:
Simplifying
x3 = 0
Solving
x3 = 0
Move all terms containing x to the left, all other terms to the right.
Simplifying
x3 = 0
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.
Set the factor '(4 + x)' equal to zero and attempt to solve:
Simplifying
4 + x = 0
Solving
4 + x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4
Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4
Combine like terms: 0 + -4 = -4
x = -4
Simplifying
x = -4
Set the factor '(-4 + x)' equal to zero and attempt to solve:
Simplifying
-4 + x = 0
Solving
-4 + x = 0
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4
Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4
Combine like terms: 0 + 4 = 4
x = 4
Simplifying
x = 4
x = {-4, 4}
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