Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(7−x)(7+x)
Evaluate
49−x2
Rewrite the expression in exponential form
72−x2
Solution
(7−x)(7+x)
Show Solution
Find the roots
x1=−7,x2=7
Evaluate
49−x2
To find the roots of the expression,set the expression equal to 0
49−x2=0
Move the constant to the right-hand side and change its sign
−x2=0−49
Removing 0 doesn't change the value,so remove it from the expression
−x2=−49
Change the signs on both sides of the equation
x2=49
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±49
Simplify the expression
More Steps
Evaluate
49
Write the number in exponential form with the base of 7
72
Reduce the index of the radical and exponent with 2
7
x=±7
Separate the equation into 2 possible cases
x=7x=−7
Solution
x1=−7,x2=7
Show Solution