Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3x2−27
Evaluate
x2×3−27
Solution
3x2−27
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Factor the expression
3(x−3)(x+3)
Evaluate
x2×3−27
Use the commutative property to reorder the terms
3x2−27
Factor out 3 from the expression
3(x2−9)
Solution
More Steps
Evaluate
x2−9
Rewrite the expression in exponential form
x2−32
Use a2−b2=(a−b)(a+b) to factor the expression
(x−3)(x+3)
3(x−3)(x+3)
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Find the roots
x1=−3,x2=3
Evaluate
x2×3−27
To find the roots of the expression,set the expression equal to 0
x2×3−27=0
Use the commutative property to reorder the terms
3x2−27=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
Divide both sides
33x2=327
Divide the numbers
x2=327
Divide the numbers
More Steps
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
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
x=±3
Separate the equation into 2 possible cases
x=3x=−3
Solution
x1=−3,x2=3
Show Solution