If a, b, c, d are in proportion prove that L.H.S. = R.H.S. from the above Identity
Attachments:
Answers
Answered by
1
Answer:
LHS = RHS
Step-by-step explanation:
If a, b, c, d are in proportion prove that L.H.S. = R.H.S. from the above Identity
LHS = (a + c)³ / (b + d)³
RHS = a ( a - c)² / b(b -d)²
a : b : : c : d
=> a/b = c/d = k
=> a = bk
=> c = dk
LHS = (a + c)³ / (b + d)³
= (bk + dk)³ / (b + d)³
= k³(b + d)³/ (b + d)³
= k³
RHS = a ( a - c)² / b(b -d)²
= bk (bk - dk)² / b(b - d)²
= bk. k² ( b -d)² / b(b - d)²
= k³ b ( b -d)² / b(b - d)²
= k³
LHS = RHS
Similar questions