Question

Find the following squares by using identities (a/b-b/a)^2

Answer 1

Answer:

the answer a+b*a-b/ab the whole sq

Answer 2

identities (a/b-b/a)^2

• let a/b be p & b/a be q

1. formula of (a - b) ² = a² - 2ab + b²
2. then (p - q) ² = p² - 2pq + q²

substituting the values p = a/b & q = b/a

therefore,

• (p - q) ² = p² - 2pq + q²
• = p² - 2pq + q²
• = (a/b)² - 2(a/b)(b/a) + (b/a)²
• =
• $\frac{ {a}^{2} }{ {b}^{2} } - 2 + \frac{ {b}^{2} }{ {a}^{2} }$
• $= \frac{ {a}^{2} }{ {b}^{2} } + \frac{ {b}^{2} }{ {a}^{2} } - 2$

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