Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
3(3−x)(3+x)
Evaluate
27−3x2
Factor out 3 from the expression
3(9−x2)
Solution
More Steps
Evaluate
9−x2
Rewrite the expression in exponential form
32−x2
Use a2−b2=(a−b)(a+b) to factor the expression
(3−x)(3+x)
3(3−x)(3+x)
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Find the roots
x1=−3,x2=3
Evaluate
27−3x2
To find the roots of the expression,set the expression equal to 0
27−3x2=0
Move the constant to the right-hand side and change its sign
−3x2=0−27
Removing 0 doesn't change the value,so remove it from the expression
−3x2=−27
Change the signs on both sides of the equation
3x2=27
Divide both sides
33x2=327
Divide the numbers
x2=327
Divide the numbers
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Evaluate
327
Reduce the numbers
19
Calculate
9
x2=9
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±9
Simplify the expression
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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
x=±3
Separate the equation into 2 possible cases
x=3x=−3
Solution
x1=−3,x2=3
Show Solution