Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−7)(x2+7x+49)
Evaluate
x3−343
Rewrite the expression in exponential form
x3−73
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(x−7)(x2+x×7+72)
Use the commutative property to reorder the terms
(x−7)(x2+7x+72)
Solution
(x−7)(x2+7x+49)
Show Solution
Find the roots
x=7
Evaluate
x3−343
To find the roots of the expression,set the expression equal to 0
x3−343=0
Move the constant to the right-hand side and change its sign
x3=0+343
Removing 0 doesn't change the value,so remove it from the expression
x3=343
Take the 3-th root on both sides of the equation
3x3=3343
Calculate
x=3343
Solution
More Steps
Evaluate
3343
Write the number in exponential form with the base of 7
373
Reduce the index of the radical and exponent with 3
7
x=7
Show Solution