Question
Simplify the expression
468y9−3y3
Evaluate
39y5×12y4−3y3
Solution
More Steps

Evaluate
39y5×12y4
Multiply the terms
468y5×y4
Multiply the terms with the same base by adding their exponents
468y5+4
Add the numbers
468y9
468y9−3y3
Show Solution

Factor the expression
3y3(156y6−1)
Evaluate
39y5×12y4−3y3
Multiply
More Steps

Evaluate
39y5×12y4
Multiply the terms
468y5×y4
Multiply the terms with the same base by adding their exponents
468y5+4
Add the numbers
468y9
468y9−3y3
Rewrite the expression
3y3×156y6−3y3
Solution
3y3(156y6−1)
Show Solution

Find the roots
y1=−15661565,y2=0,y3=15661565
Alternative Form
y1≈−0.431002,y2=0,y3≈0.431002
Evaluate
39y5×12y4−3y3
To find the roots of the expression,set the expression equal to 0
39y5×12y4−3y3=0
Multiply
More Steps

Multiply the terms
39y5×12y4
Multiply the terms
468y5×y4
Multiply the terms with the same base by adding their exponents
468y5+4
Add the numbers
468y9
468y9−3y3=0
Factor the expression
3y3(156y6−1)=0
Divide both sides
y3(156y6−1)=0
Separate the equation into 2 possible cases
y3=0156y6−1=0
The only way a power can be 0 is when the base equals 0
y=0156y6−1=0
Solve the equation
More Steps

Evaluate
156y6−1=0
Move the constant to the right-hand side and change its sign
156y6=0+1
Removing 0 doesn't change the value,so remove it from the expression
156y6=1
Divide both sides
156156y6=1561
Divide the numbers
y6=1561
Take the root of both sides of the equation and remember to use both positive and negative roots
y=±61561
Simplify the expression
More Steps

Evaluate
61561
To take a root of a fraction,take the root of the numerator and denominator separately
615661
Simplify the radical expression
61561
Multiply by the Conjugate
6156×6156561565
Multiply the numbers
15661565
y=±15661565
Separate the equation into 2 possible cases
y=15661565y=−15661565
y=0y=15661565y=−15661565
Solution
y1=−15661565,y2=0,y3=15661565
Alternative Form
y1≈−0.431002,y2=0,y3≈0.431002
Show Solution
