Question
Simplify the expression
24a2+2ab−b2
Evaluate
25a2−(a−b)2
Expand the expression
25a2−a2+2ab−b2
Solution
More Steps

Evaluate
25a2−a2
Collect like terms by calculating the sum or difference of their coefficients
(25−1)a2
Subtract the numbers
24a2
24a2+2ab−b2
Show Solution

Factor the expression
(4a+b)(6a−b)
Evaluate
25a2−(a−b)2
Rewrite the expression in exponential form
(5a)2−(a−b)2
Use a2−b2=(a−b)(a+b) to factor the expression
(5a−(a−b))(5a+a−b)
Evaluate
More Steps

Evaluate
5a−(a−b)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
5a−a+b
Subtract the terms
More Steps

Evaluate
5a−a
Collect like terms by calculating the sum or difference of their coefficients
(5−1)a
Subtract the numbers
4a
4a+b
(4a+b)(5a+a−b)
Solution
More Steps

Evaluate
5a+a−b
Add the terms
More Steps

Evaluate
5a+a
Collect like terms by calculating the sum or difference of their coefficients
(5+1)a
Add the numbers
6a
6a−b
(4a+b)(6a−b)
Show Solution
