Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
576m2−96m3+624m5
Evaluate
16m2×36−48m(2m2−13m4×1)
Multiply the terms
16m2×36−48m(2m2−13m4)
Multiply the terms
576m2−48m(2m2−13m4)
Solution
More Steps
Evaluate
−48m(2m2−13m4)
Apply the distributive property
−48m×2m2−(−48m×13m4)
Multiply the terms
More Steps
Evaluate
−48m×2m2
Multiply the numbers
−96m×m2
Multiply the terms
−96m3
−96m3−(−48m×13m4)
Multiply the terms
More Steps
Evaluate
−48m×13m4
Multiply the numbers
−624m×m4
Multiply the terms
−624m5
−96m3−(−624m5)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−96m3+624m5
576m2−96m3+624m5
Show Solution
Factor the expression
48m2(12−2m+13m3)
Evaluate
16m2×36−48m(2m2−13m4×1)
Multiply the terms
16m2×36−48m(2m2−13m4)
Multiply the terms
576m2−48m(2m2−13m4)
Rewrite the expression
48m2×12+48m2(−2m+13m3)
Solution
48m2(12−2m+13m3)
Show Solution
Find the roots
m1≈−1.026292,m2=0
Evaluate
16m2×36−48m(2m2−13m4×1)
To find the roots of the expression,set the expression equal to 0
16m2×36−48m(2m2−13m4×1)=0
Multiply the terms
16m2×36−48m(2m2−13m4)=0
Multiply the terms
576m2−48m(2m2−13m4)=0
Calculate
More Steps
Evaluate
−48m(2m2−13m4)
Apply the distributive property
−48m×2m2−(−48m×13m4)
Multiply the terms
More Steps
Evaluate
−48m×2m2
Multiply the numbers
−96m×m2
Multiply the terms
−96m3
−96m3−(−48m×13m4)
Multiply the terms
More Steps
Evaluate
−48m×13m4
Multiply the numbers
−624m×m4
Multiply the terms
−624m5
−96m3−(−624m5)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−96m3+624m5
576m2−96m3+624m5=0
Factor the expression
48m2(12−2m+13m3)=0
Divide both sides
m2(12−2m+13m3)=0
Separate the equation into 2 possible cases
m2=012−2m+13m3=0
The only way a power can be 0 is when the base equals 0
m=012−2m+13m3=0
Solve the equation
m=0m≈−1.026292
Solution
m1≈−1.026292,m2=0
Show Solution