Question

Find the value of 64x3 - 125z3  if 4x - 5z = 3/5 and xz =6​

Answer 1

Given,

⇒(4x−5z)³=64x³ −125y³ −3(4x)(5z)(4x−5z)...(a−b)³ =a³ −b³−3ab(a−b)

⇒16³ =64x³ −1258y³ −60(12)(16)

⇒64x³ −1258y³

⇒15616

Answer 2

Answer:

⇒(4x−5z)

3

=64x

3

−125y

3

−3(4x)(5z)(4x−5z...(a−b)

3

=a

3

−b

3

−3ab(a−b)

⇒16

3

=64x

3

−1258y

3

−60(12)(16)

⇒64x

3

−1258y

3

⇒15616

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