Question
Factor the expression
3a(27a3−67)
Evaluate
81a4−201a
Rewrite the expression
3a×27a3−3a×67
Solution
3a(27a3−67)
Show Solution

Find the roots
a1=0,a2=3367
Alternative Form
a1=0,a2≈1.353849
Evaluate
81a4−201a
To find the roots of the expression,set the expression equal to 0
81a4−201a=0
Factor the expression
3a(27a3−67)=0
Divide both sides
a(27a3−67)=0
Separate the equation into 2 possible cases
a=027a3−67=0
Solve the equation
More Steps

Evaluate
27a3−67=0
Move the constant to the right-hand side and change its sign
27a3=0+67
Removing 0 doesn't change the value,so remove it from the expression
27a3=67
Divide both sides
2727a3=2767
Divide the numbers
a3=2767
Take the 3-th root on both sides of the equation
3a3=32767
Calculate
a=32767
Simplify the root
More Steps

Evaluate
32767
To take a root of a fraction,take the root of the numerator and denominator separately
327367
Simplify the radical expression
3367
a=3367
a=0a=3367
Solution
a1=0,a2=3367
Alternative Form
a1=0,a2≈1.353849
Show Solution
