Question
Factor the expression
7(2−x)(2+x)
Evaluate
28−7x2
Factor out 7 from the expression
7(4−x2)
Solution
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Evaluate
4−x2
Rewrite the expression in exponential form
22−x2
Use a2−b2=(a−b)(a+b) to factor the expression
(2−x)(2+x)
7(2−x)(2+x)
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Find the roots
x1=−2,x2=2
Evaluate
28−7x2
To find the roots of the expression,set the expression equal to 0
28−7x2=0
Move the constant to the right-hand side and change its sign
−7x2=0−28
Removing 0 doesn't change the value,so remove it from the expression
−7x2=−28
Change the signs on both sides of the equation
7x2=28
Divide both sides
77x2=728
Divide the numbers
x2=728
Divide the numbers
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Evaluate
728
Reduce the numbers
14
Calculate
4
x2=4
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4
Simplify the expression
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Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
x=±2
Separate the equation into 2 possible cases
x=2x=−2
Solution
x1=−2,x2=2
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