Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(b−10)(b+10)
Evaluate
b2−100
Rewrite the expression in exponential form
b2−102
Solution
(b−10)(b+10)
Show Solution
Find the roots
b1=−10,b2=10
Evaluate
b2−100
To find the roots of the expression,set the expression equal to 0
b2−100=0
Move the constant to the right-hand side and change its sign
b2=0+100
Removing 0 doesn't change the value,so remove it from the expression
b2=100
Take the root of both sides of the equation and remember to use both positive and negative roots
b=±100
Simplify the expression
More Steps
Evaluate
100
Write the number in exponential form with the base of 10
102
Reduce the index of the radical and exponent with 2
10
b=±10
Separate the equation into 2 possible cases
b=10b=−10
Solution
b1=−10,b2=10
Show Solution