What is factor 4m^2-12m+(-9) ?

The solution to factor 4m^2-12m+(-9) is 4(m-(3(sqrt(2)+1))/2)(m+(3(sqrt(2)-1))/2)

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factor 4m^2-12m+(-9)

factor

4 m^{2} - 12 m + (- 9)

4 (m - \frac{3 ( 2 + 1 )}{2}) (m + \frac{3 ( 2 - 1 )}{2})

Solution steps

4 m^{2} - 12 m + (- 9)

Rewrite as

= 4 (m^{2} - 3 m - \frac{9}{4})

Factor

m^{2} - 3 m - \frac{9}{4} : (m - \frac{3 + 3 2}{2}) (m - \frac{3 - 3 2}{2})

4 (m - \frac{3 + 3 2}{2}) (m - \frac{3 - 3 2}{2})

Factor

3 + 32 : 3 (2 + 1)

= 4 (m - \frac{3 ( 1 + 2 )}{2}) (m - \frac{3 - 3 2}{2})

Factor

3 - 32 : - 3 (2 - 1)

= 4 (m - \frac{3 ( 1 + 2 )}{2}) (m - \frac{- 3 ( 2 - 1 )}{2})

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= 4 (m - \frac{3 ( 1 + 2 )}{2}) (m - (- \frac{3 ( 2 - 1 )}{2}))

Apply rule

- (- a) = a

= 4 (m - \frac{3 ( 2 + 1 )}{2}) (m + \frac{3 ( 2 - 1 )}{2})

(A B) C

a c - a d - b c + b d

(3 e^{x} + c) + 3 e^{x} x^{3}

4 w^{2} (w^{2} - 1) + 1

(x^{2} - 3 x + 2)^{3} - 216

What is factor 4m^2-12m+(-9) ?
The solution to factor 4m^2-12m+(-9) is 4(m-(3(sqrt(2)+1))/2)(m+(3(sqrt(2)-1))/2)