Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4m2−8m−32
Evaluate
(2m−2)2−36
Expand the expression
4m2−8m+4−36
Solution
4m2−8m−32
Show Solution
Factor the expression
4(m−4)(m+2)
Evaluate
(2m−2)2−36
Factor out 4 from the expression
4((m−1)2−9)
Solution
More Steps
Evaluate
(m−1)2−9
Rewrite the expression in exponential form
(m−1)2−32
Use a2−b2=(a−b)(a+b) to factor the expression
(m−1−3)(m−1+3)
Evaluate
(m−4)(m−1+3)
Evaluate
(m−4)(m+2)
4(m−4)(m+2)
Show Solution
Find the roots
m1=−2,m2=4
Evaluate
(2m−2)2−36
To find the roots of the expression,set the expression equal to 0
(2m−2)2−36=0
Move the constant to the right-hand side and change its sign
(2m−2)2=0+36
Removing 0 doesn't change the value,so remove it from the expression
(2m−2)2=36
Take the root of both sides of the equation and remember to use both positive and negative roots
2m−2=±36
Simplify the expression
More Steps
Evaluate
36
Write the number in exponential form with the base of 6
62
Reduce the index of the radical and exponent with 2
6
2m−2=±6
Separate the equation into 2 possible cases
2m−2=62m−2=−6
Calculate
More Steps
Evaluate
2m−2=6
Move the constant to the right-hand side and change its sign
2m=6+2
Add the numbers
2m=8
Divide both sides
22m=28
Divide the numbers
m=28
Divide the numbers
More Steps
Evaluate
28
Reduce the numbers
14
Calculate
4
m=4
m=42m−2=−6
Calculate
More Steps
Evaluate
2m−2=−6
Move the constant to the right-hand side and change its sign
2m=−6+2
Add the numbers
2m=−4
Divide both sides
22m=2−4
Divide the numbers
m=2−4
Divide the numbers
More Steps
Evaluate
2−4
Reduce the numbers
1−2
Calculate
−2
m=−2
m=4m=−2
Solution
m1=−2,m2=4
Show Solution