Math, asked by kumarsonu50896, 3 months ago

64x²-125z³ यदि 4x-5Z =16 और xz = 12​

Answers

Answered by farhaanaarif84
0

Answer:

Given, 4x - 5z = 16 and xz = 12

Since, (a−b)

2

=a

2

−2ab+b

2

⇒(4x−5z)

2

=16x

2

−40xz+25z

2

put 4x - 5z = 16 and xz = 12

⇒(16)

2

=16x

2

−40(12)+25z

2

⇒16x

2

+25z

2

=256+480

⇒16x

2

+25z

2

=736 (1)

Given, 64x

3

−125z

3

=(4x)

3

−(5z)

3

Since,a

3

−b

3

=(a−b)(a

2

+b

2

+ab)

⇒(4x)

3

−(5z)

3

=(4x−5z)(16x

2

+25z

2

+20xz)

By putting 4x - 5z = 16 , xz = 12 and using (1). we get,

⇒(4x)

3

−(5z)

3

=(16)(736+20×12)

⇒(4x)

3

−(5z)

3

=(16)(976)

⇒(4x)

3

−(5z)

3

=15616

Option D is correct.

Answered by Anonymous
0

Answer:

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