Question
Solve the equation
Solve for a
Solve for b
a=b−1b2
Evaluate
a−b=ba
Multiply both sides of the equation by LCD
(a−b)b=ba×b
Simplify the equation
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Evaluate
(a−b)b
Apply the distributive property
ab−b×b
Multiply the terms
ba−b×b
Multiply the terms
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Evaluate
−b×b
Multiply the terms with the same base by adding their exponents
b1+1
Add the numbers
−b2
ba−b2
ba−b2=ba×b
Simplify the equation
ba−b2=a
Move the variable to the left side
ba−b2−a=0
Collect like terms by calculating the sum or difference of their coefficients
(b−1)a−b2=0
Move the constant to the right side
(b−1)a=0+b2
Removing 0 doesn't change the value,so remove it from the expression
(b−1)a=b2
Divide both sides
b−1(b−1)a=b−1b2
Solution
a=b−1b2
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