Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
l7−l5
Evaluate
l3×l4−l5
Solution
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Evaluate
l3×l4
Use the product rule an×am=an+m to simplify the expression
l3+4
Add the numbers
l7
l7−l5
Show Solution
Factor the expression
l5(l−1)(l+1)
Evaluate
l3×l4−l5
Evaluate
More Steps
Evaluate
l3×l4
Use the product rule an×am=an+m to simplify the expression
l3+4
Add the numbers
l7
l7−l5
Factor out l5 from the expression
l5(l2−1)
Solution
More Steps
Evaluate
l2−1
Rewrite the expression in exponential form
l2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(l−1)(l+1)
l5(l−1)(l+1)
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Find the roots
l1=−1,l2=0,l3=1
Evaluate
l3×l4−l5
To find the roots of the expression,set the expression equal to 0
l3×l4−l5=0
Multiply the terms
More Steps
Evaluate
l3×l4
Use the product rule an×am=an+m to simplify the expression
l3+4
Add the numbers
l7
l7−l5=0
Factor the expression
l5(l2−1)=0
Separate the equation into 2 possible cases
l5=0l2−1=0
The only way a power can be 0 is when the base equals 0
l=0l2−1=0
Solve the equation
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Evaluate
l2−1=0
Move the constant to the right-hand side and change its sign
l2=0+1
Removing 0 doesn't change the value,so remove it from the expression
l2=1
Take the root of both sides of the equation and remember to use both positive and negative roots
l=±1
Simplify the expression
l=±1
Separate the equation into 2 possible cases
l=1l=−1
l=0l=1l=−1
Solution
l1=−1,l2=0,l3=1
Show Solution