Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−10)(x2+10x+100)
Evaluate
x3−1000
Rewrite the expression in exponential form
x3−103
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(x−10)(x2+x×10+102)
Use the commutative property to reorder the terms
(x−10)(x2+10x+102)
Solution
(x−10)(x2+10x+100)
Show Solution
Find the roots
x=10
Evaluate
x3−1000
To find the roots of the expression,set the expression equal to 0
x3−1000=0
Move the constant to the right-hand side and change its sign
x3=0+1000
Removing 0 doesn't change the value,so remove it from the expression
x3=1000
Take the 3-th root on both sides of the equation
3x3=31000
Calculate
x=31000
Solution
More Steps
Evaluate
31000
Write the number in exponential form with the base of 10
3103
Reduce the index of the radical and exponent with 3
10
x=10
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