Question

$\frac{ {3x}^{2} - x - 2 }{ {x}^{2} - 7x + 12} \div \frac{ {3x}^{2}7x - 6 }{ {x}^{2} - 4}$
​

Answer 1

Answer:

x

2

−7x+12

3x

2

−x−2

÷

x

2

−4

3x

2

−7x−6

(∵

B

A

÷

D

C

=

B

A

×

C

D

) and A

2

−B

2

=(A−B)(A+B)

⇒

x

2

−7x+12

3x

2

−x−2

×

3x

2

−7x−6

x

2

−4

⇒

(x−3)(x−4)

(3x+2)(x−1)

×

(3x+2)(x−3)

(x−2)(x+2)

⇒

(x−3)

2

(x−4)

(x−1)(x−2)(x+2)

.