64x²-125z³ यदि 4x-5Z =16 और xz = 12
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Answered by
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.
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0
Answer:
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