Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3m2−300
Evaluate
3m×m−300
Solution
3m2−300
Show Solution
Factor the expression
3(m−10)(m+10)
Evaluate
3m×m−300
Evaluate
3m2−300
Factor out 3 from the expression
3(m2−100)
Solution
More Steps
Evaluate
m2−100
Rewrite the expression in exponential form
m2−102
Use a2−b2=(a−b)(a+b) to factor the expression
(m−10)(m+10)
3(m−10)(m+10)
Show Solution
Find the roots
m1=−10,m2=10
Evaluate
3m×m−300
To find the roots of the expression,set the expression equal to 0
3m×m−300=0
Multiply the terms
3m2−300=0
Move the constant to the right-hand side and change its sign
3m2=0+300
Removing 0 doesn't change the value,so remove it from the expression
3m2=300
Divide both sides
33m2=3300
Divide the numbers
m2=3300
Divide the numbers
More Steps
Evaluate
3300
Reduce the numbers
1100
Calculate
100
m2=100
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±100
Simplify the expression
More Steps
Evaluate
100
Write the number in exponential form with the base of 10
102
Reduce the index of the radical and exponent with 2
10
m=±10
Separate the equation into 2 possible cases
m=10m=−10
Solution
m1=−10,m2=10
Show Solution