Question

Find ( ⁴/9 a b c 3 ) X ( - 27/5 a 3 b 2 ) X ( - 8 b 3 c ) and verify the result for a = 1 , b = 2 , c = 3

Answer 1

Step-by-step explanation:

Correct option is A)

Solution:-

x=

2−

3

1

Multiplying the numerator and denominator by the conjugate of the denominator, we have

x=

2−

3

1

×

2+

3

2+

3

=

2

2

−

3

2

2+

3

=

4−3

2+

3

=2+

3

⇒x

2

=(2+

3

)

2

=4+4

3

+3=7+4

3

Now consider the given expression

x

3

−2x

2

−7x+5=x

3

−7x−2x

2

+5

⇒=x(x

2

−7)−2x

2

+5

⇒=(2+

3

)(7+4

3

−7)−2(7+4

3

)+5

⇒=(2+

3

)(4

3

)−14−8

3

+5

⇒=8

3

+12−14−8

3

+5

⇒=3

x

3

−2x

2

−7x+5=m{Given}

∴m=3