Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
8−m6
Evaluate
9−1−1×m6
Multiply the terms
9−1−m6
Solution
8−m6
Show Solution
Factor the expression
(2−m2)(m4+2m2+4)
Evaluate
9−1−1×m6
Any expression multiplied by 1 remains the same
9−1−m6
Subtract the numbers
8−m6
Calculate
2m4+4m2+8−m6−2m4−4m2
Rewrite the expression
2m4+2×2m2+2×4−m2×m4−m2×2m2−m2×4
Factor out 2 from the expression
2(m4+2m2+4)−m2×m4−m2×2m2−m2×4
Factor out −m2 from the expression
2(m4+2m2+4)−m2(m4+2m2+4)
Solution
(2−m2)(m4+2m2+4)
Show Solution
Find the roots
m1=−2,m2=2
Alternative Form
m1≈−1.414214,m2≈1.414214
Evaluate
9−1−1×(m6)
To find the roots of the expression,set the expression equal to 0
9−1−1×(m6)=0
Calculate
9−1−1×m6=0
Any expression multiplied by 1 remains the same
9−1−m6=0
Subtract the numbers
8−m6=0
Move the constant to the right-hand side and change its sign
−m6=0−8
Removing 0 doesn't change the value,so remove it from the expression
−m6=−8
Change the signs on both sides of the equation
m6=8
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±68
Simplify the expression
More Steps
Evaluate
68
Write the number in exponential form with the base of 2
623
Reduce the index of the radical and exponent with 3
2
m=±2
Separate the equation into 2 possible cases
m=2m=−2
Solution
m1=−2,m2=2
Alternative Form
m1≈−1.414214,m2≈1.414214
Show Solution