Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
a2a2−2
Evaluate
(a−a1)×2
Subtract the terms
More Steps
Simplify
a−a1
Reduce fractions to a common denominator
aa×a−a1
Write all numerators above the common denominator
aa×a−1
Multiply the terms
aa2−1
aa2−1×2
Multiply the terms
a(a2−1)×2
Multiply the terms
a2(a2−1)
Solution
More Steps
Evaluate
2(a2−1)
Apply the distributive property
2a2−2×1
Any expression multiplied by 1 remains the same
2a2−2
a2a2−2
Show Solution
Find the excluded values
a=0
Evaluate
(a−a1)×2
Solution
a=0
Show Solution
Find the roots
a1=−1,a2=1
Evaluate
(a−a1)×2
To find the roots of the expression,set the expression equal to 0
(a−a1)×2=0
Find the domain
(a−a1)×2=0,a=0
Calculate
(a−a1)×2=0
Subtract the terms
More Steps
Simplify
a−a1
Reduce fractions to a common denominator
aa×a−a1
Write all numerators above the common denominator
aa×a−1
Multiply the terms
aa2−1
aa2−1×2=0
Multiply the terms
More Steps
Multiply the terms
aa2−1×2
Multiply the terms
a(a2−1)×2
Multiply the terms
a2(a2−1)
a2(a2−1)=0
Cross multiply
2(a2−1)=a×0
Simplify the equation
2(a2−1)=0
Rewrite the expression
a2−1=0
Move the constant to the right side
a2=1
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±1
Simplify the expression
a=±1
Separate the equation into 2 possible cases
a=1a=−1
Check if the solution is in the defined range
a=1a=−1,a=0
Find the intersection of the solution and the defined range
a=1a=−1
Solution
a1=−1,a2=1
Show Solution