Question
Factor the expression
2(x−3)(x+3)
Evaluate
2x2−18
Factor out 2 from the expression
2(x2−9)
Solution
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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)
2(x−3)(x+3)
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Find the roots
x1=−3,x2=3
Evaluate
2x2−18
To find the roots of the expression,set the expression equal to 0
2x2−18=0
Move the constant to the right-hand side and change its sign
2x2=0+18
Removing 0 doesn't change the value,so remove it from the expression
2x2=18
Divide both sides
22x2=218
Divide the numbers
x2=218
Divide the numbers
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Evaluate
218
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
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