Question
Simplify the expression
−2a2+2
Evaluate
(a×1×a−1)(a−1−a−1)
Multiply the terms
More Steps

Multiply the terms
a×1×a
Rewrite the expression
a×a
Multiply the terms
a2
(a2−1)(a−1−a−1)
Subtract the terms
More Steps

Evaluate
a−1−a−1
The sum of two opposites equals 0
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Evaluate
a−a
Collect like terms
(1−1)a
Add the coefficients
0×a
Calculate
0
0−1−1
Remove 0
−1−1
Subtract the numbers
−2
(a2−1)(−2)
Multiply the terms
−2(a2−1)
Apply the distributive property
−2a2−(−2×1)
Any expression multiplied by 1 remains the same
−2a2−(−2)
Solution
−2a2+2
Show Solution

Factor the expression
−2(a−1)(a+1)
Evaluate
(a×1×a−1)(a−1−a−1)
Multiply the terms
More Steps

Multiply the terms
a×1×a
Rewrite the expression
a×a
Multiply the terms
a2
(a2−1)(a−1−a−1)
Subtract the terms
More Steps

Simplify
a−1−a
The sum of two opposites equals 0
More Steps

Evaluate
a−a
Collect like terms
(1−1)a
Add the coefficients
0×a
Calculate
0
0−1
Remove 0
−1
(a2−1)(−1−1)
Subtract the numbers
(a2−1)(−2)
Multiply the terms
−2(a2−1)
Solution
−2(a−1)(a+1)
Show Solution

Find the roots
a1=−1,a2=1
Evaluate
(a×1×a−1)(a−1−a−1)
To find the roots of the expression,set the expression equal to 0
(a×1×a−1)(a−1−a−1)=0
Multiply the terms
More Steps

Multiply the terms
a×1×a
Rewrite the expression
a×a
Multiply the terms
a2
(a2−1)(a−1−a−1)=0
Subtract the terms
More Steps

Simplify
a−1−a
The sum of two opposites equals 0
More Steps

Evaluate
a−a
Collect like terms
(1−1)a
Add the coefficients
0×a
Calculate
0
0−1
Remove 0
−1
(a2−1)(−1−1)=0
Subtract the numbers
(a2−1)(−2)=0
Multiply the terms
−2(a2−1)=0
Change the sign
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
Solution
a1=−1,a2=1
Show Solution
