Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
31−2x2+x4
Evaluate
3(1−x2)2
Solution
More Steps
Evaluate
(1−x2)2
Use (a−b)2=a2−2ab+b2 to expand the expression
12−2×1×x2+(x2)2
Calculate
1−2x2+x4
31−2x2+x4
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Find the roots
x1=−1,x2=1
Evaluate
3(1−x2)2
To find the roots of the expression,set the expression equal to 0
3(1−x2)2=0
Simplify
(1−x2)2=0
The only way a power can be 0 is when the base equals 0
1−x2=0
Move the constant to the right-hand side and change its sign
−x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−x2=−1
Change the signs on both sides of the equation
x2=1
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±1
Simplify the expression
x=±1
Separate the equation into 2 possible cases
x=1x=−1
Solution
x1=−1,x2=1
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