Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
Solve for a
Solve for b
a=b−1ba=b
Evaluate
a2−b2=ab(a−b)
Rewrite the expression
a2−b2=ba(a−b)
Move the expression to the left side
a2−b2−ba(a−b)=0
Calculate
More Steps
Evaluate
−ba(a−b)
Apply the distributive property
−ba×a−(−bab)
Multiply the terms
−ba2−(−bab)
Multiply the terms
More Steps
Evaluate
−b×b
Multiply the terms with the same base by adding their exponents
b1+1
Add the numbers
−b2
−ba2−(−b2a)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−ba2+b2a
a2−b2−ba2+b2a=0
Collect like terms by calculating the sum or difference of their coefficients
(1−b)a2−b2+b2a=0
Expand the expression
a2−ba2−b2+b2a=0
Factor the expression
More Steps
Evaluate
a2−ba2−b2+b2a
Calculate
−ba2+b2a+a2−ba+ba−b2
Rewrite the expression
−ba×a+bab+a×a−ab+ba−b×b
Factor out −ba from the expression
−ba(a−b)+a×a−ab+ba−b×b
Factor out a from the expression
−ba(a−b)+a(a−b)+ba−b×b
Factor out b from the expression
−ba(a−b)+a(a−b)+b(a−b)
Factor out a−b from the expression
(−ba+a+b)(a−b)
(−ba+a+b)(a−b)=0
When the product of factors equals 0,at least one factor is 0
−ba+a+b=0a−b=0
Solve the equation for a
More Steps
Evaluate
−ba+a+b=0
Collect like terms by calculating the sum or difference of their coefficients
(−b+1)a+b=0
Move the constant to the right side
(−b+1)a=0−b
Removing 0 doesn't change the value,so remove it from the expression
(−b+1)a=−b
Divide both sides
−b+1(−b+1)a=−b+1−b
Divide the numbers
a=−b+1−b
Use b−a=−ba=−ba to rewrite the fraction
a=−−b+1b
a=−−b+1ba−b=0
Solve the equation for a
More Steps
Evaluate
a−b=0
Move the expression to the right-hand side and change its sign
a=0+b
Add the terms
a=b
a=−−b+1ba=b
Solution
a=b−1ba=b
Show Solution
