Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
2y2(7−y4)
Evaluate
14y2−2y6
Rewrite the expression
2y2×7−2y2×y4
Solution
2y2(7−y4)
Show Solution
Find the roots
y1=−47,y2=0,y3=47
Alternative Form
y1≈−1.626577,y2=0,y3≈1.626577
Evaluate
14y2−(2y6)
To find the roots of the expression,set the expression equal to 0
14y2−(2y6)=0
Multiply the terms
14y2−2y6=0
Factor the expression
2y2(7−y4)=0
Divide both sides
y2(7−y4)=0
Separate the equation into 2 possible cases
y2=07−y4=0
The only way a power can be 0 is when the base equals 0
y=07−y4=0
Solve the equation
More Steps
Evaluate
7−y4=0
Move the constant to the right-hand side and change its sign
−y4=0−7
Removing 0 doesn't change the value,so remove it from the expression
−y4=−7
Change the signs on both sides of the equation
y4=7
Take the root of both sides of the equation and remember to use both positive and negative roots
y=±47
Separate the equation into 2 possible cases
y=47y=−47
y=0y=47y=−47
Solution
y1=−47,y2=0,y3=47
Alternative Form
y1≈−1.626577,y2=0,y3≈1.626577
Show Solution