Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−2+λ+λ2
Evaluate
(1−λ)(−2−λ)
Apply the distributive property
1×(−2)−1×λ−λ(−2)−(−λ×λ)
Any expression multiplied by 1 remains the same
−2−1×λ−λ(−2)−(−λ×λ)
Any expression multiplied by 1 remains the same
−2−λ−λ(−2)−(−λ×λ)
Use the commutative property to reorder the terms
−2−λ+2λ−(−λ×λ)
Multiply the terms
−2−λ+2λ−(−λ2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2−λ+2λ+λ2
Solution
More Steps
Evaluate
−λ+2λ
Collect like terms by calculating the sum or difference of their coefficients
(−1+2)λ
Add the numbers
λ
−2+λ+λ2
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Find the roots
λ1=−2,λ2=1
Evaluate
(1−λ)(−2−λ)
To find the roots of the expression,set the expression equal to 0
(1−λ)(−2−λ)=0
Separate the equation into 2 possible cases
1−λ=0−2−λ=0
Solve the equation
More Steps
Evaluate
1−λ=0
Move the constant to the right-hand side and change its sign
−λ=0−1
Removing 0 doesn't change the value,so remove it from the expression
−λ=−1
Change the signs on both sides of the equation
λ=1
λ=1−2−λ=0
Solve the equation
More Steps
Evaluate
−2−λ=0
Move the constant to the right-hand side and change its sign
−λ=0+2
Removing 0 doesn't change the value,so remove it from the expression
−λ=2
Change the signs on both sides of the equation
λ=−2
λ=1λ=−2
Solution
λ1=−2,λ2=1
Show Solution