Question

3m² -13m + 12 / 9m² - 16 =
m-3/ 3m+4
m+3/ 3m+4
m-3/ 3m-4
m+3/ 3m-4​

Answer 1

Answer:

First step, divide the numbers

3m² - 13m + 12/9 • m² - 16

3m² -13m + 4/3 • m² - 16

Next is combining similar terms into single fraction

3m² - 13m + 4/3 • m² - 16

3m² - 13m + 4m²/3 - 16

Afterwards, find common denominator

3•3m²/3 + 3(-13)m/3 + 4m²/3 + 3(-16)/3

Then combine fractions with the common denominator

3•3m² + 3(-13)m + 4m² + 3(-16) all over 3

Next is multiply the numbers

9m² - 39m + 4m² - 48 all over 3

Last is combine like terms

13m² - 39m - 48 all over 3

Answer 2

Numerator=3m.m-13m+12
3m.m-9m-4m+12=3m(m-3)-4(m-3)
=(3m-4)(m-3)

Denominator=9m.m-16=(3mX3m)-(4X4)
=(3m-4)(3m+4)

Therefore
(3m-4)(m-3)/((3m-4)(3m+4))=m-3/3m+4