Question
Factor the expression
3(7−x)(49+7x+x2)
Evaluate
1029−3x3
Factor out 3 from the expression
3(343−x3)
Solution
More Steps

Evaluate
343−x3
Rewrite the expression in exponential form
73−x3
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(7−x)(72+7x+x2)
Evaluate
(7−x)(49+7x+x2)
3(7−x)(49+7x+x2)
Show Solution

Find the roots
x=7
Evaluate
1029−3x3
To find the roots of the expression,set the expression equal to 0
1029−3x3=0
Move the constant to the right-hand side and change its sign
−3x3=0−1029
Removing 0 doesn't change the value,so remove it from the expression
−3x3=−1029
Change the signs on both sides of the equation
3x3=1029
Divide both sides
33x3=31029
Divide the numbers
x3=31029
Divide the numbers
More Steps

Evaluate
31029
Reduce the numbers
1343
Calculate
343
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
