Question

simplyfy: (4x2-9y2)3/(2x-3y)2+(9y2-16y2)/(3y-4z)3+(16z2-4x2)2/(4z-2x)3​

Answer 1

2x

=

4z

3y

=>

3yz

8xz

=1

=>8xz=9y

2

------- (i)

L.H.S=4x

2

+9y

2

+16z

2

=4x

2

+8xz+16z

2

(from i)

=(2x)

2

+2(2x)(4z)+(4z)

2

−8xz

=(2x+4z)

2

−9y

2

=(2x+4z)

2

−(3y)

2

Using,a

2

−b

2

=(a+b)(a−b)

=(2x+3y+4z)(2x−3y+4z)

=R.H.S