Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
7(2−f)(2+f)
Evaluate
28−7f2
Factor out 7 from the expression
7(4−f2)
Solution
More Steps
Evaluate
4−f2
Rewrite the expression in exponential form
22−f2
Use a2−b2=(a−b)(a+b) to factor the expression
(2−f)(2+f)
7(2−f)(2+f)
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Find the roots
f1=−2,f2=2
Evaluate
28−7f2
To find the roots of the expression,set the expression equal to 0
28−7f2=0
Move the constant to the right-hand side and change its sign
−7f2=0−28
Removing 0 doesn't change the value,so remove it from the expression
−7f2=−28
Change the signs on both sides of the equation
7f2=28
Divide both sides
77f2=728
Divide the numbers
f2=728
Divide the numbers
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Evaluate
728
Reduce the numbers
14
Calculate
4
f2=4
Take the root of both sides of the equation and remember to use both positive and negative roots
f=±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
f=±2
Separate the equation into 2 possible cases
f=2f=−2
Solution
f1=−2,f2=2
Show Solution