What is (2m^2+4m-6)/(4m^2+16m+12) ?

The solution to (2m^2+4m-6)/(4m^2+16m+12) is (m-1)/(2(m+1))

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simplify (2m^2+4m-6)/(4m^2+16m+12)

simplify

\frac{2 m ^{2} + 4 m - 6}{4 m ^{2} + 16 m + 12}

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

Solution steps

\frac{2 m ^{2} + 4 m - 6}{4 m ^{2} + 16 m + 12}

Factor

2 m^{2} + 4 m - 6 : 2 (m - 1) (m + 3)

= \frac{2 ( m - 1 ) ( m + 3 )}{4 m ^{2} + 16 m + 12}

Factor

4 m^{2} + 16 m + 12 : 4 (m + 1) (m + 3)

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

Cancel the common factor:

m + 3

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

Factor the number:

4 = 2 \cdot 2

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

Cancel the common factor:

2

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

(t^{2} - 1)^{2}

- \frac{1}{x ^{2}} + \frac{1}{x}

- 289

3 x^{3} + 5 x^{2} - 30 x - 50

30 \times 5

What is (2m^2+4m-6)/(4m^2+16m+12) ?
The solution to (2m^2+4m-6)/(4m^2+16m+12) is (m-1)/(2(m+1))