Algebra
Calculus
Trigonometry
Matrix
Question
5−m3−13
Simplify the expression
−8−m3
Evaluate
5−m3−13
Solution
−8−m3
Show Solution
Factor the expression
−(2+m)(m2−2m+4)
Evaluate
5−m3−13
Subtract the numbers
−8−m3
Factor out −1 from the expression
−(8+m3)
Solution
More Steps
Evaluate
8+m3
Calculate
2m2−4m+8+m3−2m2+4m
Rewrite the expression
2m2−2×2m+2×4+m×m2−m×2m+m×4
Factor out 2 from the expression
2(m2−2m+4)+m×m2−m×2m+m×4
Factor out m from the expression
2(m2−2m+4)+m(m2−2m+4)
Factor out m2−2m+4 from the expression
(2+m)(m2−2m+4)
−(2+m)(m2−2m+4)
Show Solution
Find the roots
m=−2
Evaluate
5−m3−13
To find the roots of the expression,set the expression equal to 0
5−m3−13=0
Subtract the numbers
−8−m3=0
Move the constant to the right-hand side and change its sign
−m3=0+8
Removing 0 doesn't change the value,so remove it from the expression
−m3=8
Change the signs on both sides of the equation
m3=−8
Take the 3-th root on both sides of the equation
3m3=3−8
Calculate
m=3−8
Solution
More Steps
Evaluate
3−8
An odd root of a negative radicand is always a negative
−38
Simplify the radical expression
More Steps
Evaluate
38
Write the number in exponential form with the base of 2
323
Reduce the index of the radical and exponent with 3
2
−2
m=−2
Show Solution