Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
20y6−120y4
Evaluate
5y2(4y4−3y2×8)
Multiply the terms
5y2(4y4−24y2)
Apply the distributive property
5y2×4y4−5y2×24y2
Multiply the terms
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Evaluate
5y2×4y4
Multiply the numbers
20y2×y4
Multiply the terms
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Evaluate
y2×y4
Use the product rule an×am=an+m to simplify the expression
y2+4
Add the numbers
y6
20y6
20y6−5y2×24y2
Solution
More Steps
Evaluate
5y2×24y2
Multiply the numbers
120y2×y2
Multiply the terms
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Evaluate
y2×y2
Use the product rule an×am=an+m to simplify the expression
y2+2
Add the numbers
y4
120y4
20y6−120y4
Show Solution
Factor the expression
20y4(y2−6)
Evaluate
5y2(4y4−3y2×8)
Multiply the terms
5y2(4y4−24y2)
Factor the expression
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Evaluate
4y4−24y2
Rewrite the expression
4y2×y2−4y2×6
Factor out 4y2 from the expression
4y2(y2−6)
5y2×4y2(y2−6)
Solution
20y4(y2−6)
Show Solution
Find the roots
y1=−6,y2=0,y3=6
Alternative Form
y1≈−2.44949,y2=0,y3≈2.44949
Evaluate
5y2(4y4−3y2×8)
To find the roots of the expression,set the expression equal to 0
5y2(4y4−3y2×8)=0
Multiply the terms
5y2(4y4−24y2)=0
Elimination the left coefficient
y2(4y4−24y2)=0
Separate the equation into 2 possible cases
y2=04y4−24y2=0
The only way a power can be 0 is when the base equals 0
y=04y4−24y2=0
Solve the equation
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Evaluate
4y4−24y2=0
Factor the expression
4y2(y2−6)=0
Divide both sides
y2(y2−6)=0
Separate the equation into 2 possible cases
y2=0y2−6=0
The only way a power can be 0 is when the base equals 0
y=0y2−6=0
Solve the equation
More Steps
Evaluate
y2−6=0
Move the constant to the right-hand side and change its sign
y2=0+6
Removing 0 doesn't change the value,so remove it from the expression
y2=6
Take the root of both sides of the equation and remember to use both positive and negative roots
y=±6
Separate the equation into 2 possible cases
y=6y=−6
y=0y=6y=−6
y=0y=0y=6y=−6
Find the union
y=0y=6y=−6
Solution
y1=−6,y2=0,y3=6
Alternative Form
y1≈−2.44949,y2=0,y3≈2.44949
Show Solution