Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x2(x−7)(x+7)
Evaluate
x4−49x2
Factor out x2 from the expression
x2(x2−49)
Solution
More Steps
Evaluate
x2−49
Rewrite the expression in exponential form
x2−72
Use a2−b2=(a−b)(a+b) to factor the expression
(x−7)(x+7)
x2(x−7)(x+7)
Show Solution
Find the roots
x1=−7,x2=0,x3=7
Evaluate
x4−49x2
To find the roots of the expression,set the expression equal to 0
x4−49x2=0
Factor the expression
x2(x2−49)=0
Separate the equation into 2 possible cases
x2=0x2−49=0
The only way a power can be 0 is when the base equals 0
x=0x2−49=0
Solve the equation
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Evaluate
x2−49=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
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±49
Simplify the expression
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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
x=0x=7x=−7
Solution
x1=−7,x2=0,x3=7
Show Solution