Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
48x4−80x7
Evaluate
(3x2−5x5)(x2×16)
Remove the parentheses
(3x2−5x5)x2×16
Use the commutative property to reorder the terms
(3x2−5x5)×16x2
Multiply the terms
16x2(3x2−5x5)
Apply the distributive property
16x2×3x2−16x2×5x5
Multiply the terms
More Steps
Evaluate
16x2×3x2
Multiply the numbers
48x2×x2
Multiply the terms
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Evaluate
x2×x2
Use the product rule an×am=an+m to simplify the expression
x2+2
Add the numbers
x4
48x4
48x4−16x2×5x5
Solution
More Steps
Evaluate
16x2×5x5
Multiply the numbers
80x2×x5
Multiply the terms
More Steps
Evaluate
x2×x5
Use the product rule an×am=an+m to simplify the expression
x2+5
Add the numbers
x7
80x7
48x4−80x7
Show Solution
Factor the expression
16x4(3−5x3)
Evaluate
(3x2−5x5)(x2×16)
Remove the parentheses
(3x2−5x5)x2×16
Use the commutative property to reorder the terms
(3x2−5x5)×16x2
Multiply the terms
16x2(3x2−5x5)
Factor the expression
More Steps
Evaluate
3x2−5x5
Rewrite the expression
x2×3−x2×5x3
Factor out x2 from the expression
x2(3−5x3)
16x2×x2(3−5x3)
Solution
16x4(3−5x3)
Show Solution
Find the roots
x1=0,x2=5375
Alternative Form
x1=0,x2≈0.843433
Evaluate
(3x2−5x5)(x2×16)
To find the roots of the expression,set the expression equal to 0
(3x2−5x5)(x2×16)=0
Use the commutative property to reorder the terms
(3x2−5x5)×16x2=0
Multiply the terms
16x2(3x2−5x5)=0
Elimination the left coefficient
x2(3x2−5x5)=0
Separate the equation into 2 possible cases
x2=03x2−5x5=0
The only way a power can be 0 is when the base equals 0
x=03x2−5x5=0
Solve the equation
More Steps
Evaluate
3x2−5x5=0
Factor the expression
x2(3−5x3)=0
Separate the equation into 2 possible cases
x2=03−5x3=0
The only way a power can be 0 is when the base equals 0
x=03−5x3=0
Solve the equation
More Steps
Evaluate
3−5x3=0
Move the constant to the right-hand side and change its sign
−5x3=0−3
Removing 0 doesn't change the value,so remove it from the expression
−5x3=−3
Change the signs on both sides of the equation
5x3=3
Divide both sides
55x3=53
Divide the numbers
x3=53
Take the 3-th root on both sides of the equation
3x3=353
Calculate
x=353
Simplify the root
x=5375
x=0x=5375
x=0x=0x=5375
Find the union
x=0x=5375
Solution
x1=0,x2=5375
Alternative Form
x1=0,x2≈0.843433
Show Solution