Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
a2−9
Evaluate
a×1×a−9
Solution
More Steps
Evaluate
a×1×a
Rewrite the expression
a×a
Multiply the terms
a2
a2−9
Show Solution
Factor the expression
(a−3)(a+3)
Evaluate
a×1×a−9
Evaluate
More Steps
Evaluate
a×1×a
Rewrite the expression
a×a
Multiply the terms
a2
a2−9
Rewrite the expression in exponential form
a2−32
Solution
(a−3)(a+3)
Show Solution
Find the roots
a1=−3,a2=3
Evaluate
a×1×a−9
To find the roots of the expression,set the expression equal to 0
a×1×a−9=0
Multiply the terms
More Steps
Multiply the terms
a×1×a
Rewrite the expression
a×a
Multiply the terms
a2
a2−9=0
Move the constant to the right-hand side and change its sign
a2=0+9
Removing 0 doesn't change the value,so remove it from the expression
a2=9
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±9
Simplify the expression
More Steps
Evaluate
9
Write the number in exponential form with the base of 3
32
Reduce the index of the radical and exponent with 2
3
a=±3
Separate the equation into 2 possible cases
a=3a=−3
Solution
a1=−3,a2=3
Show Solution