Question

(α - β)2 = (α + β)2 - 4 * α * β

To prove

Answer 1

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Answer 2

$\huge\bf\purple{\mathfrak{To prove:-}}$

(α - β)² = (α + β)² - 4 αβ

$\huge\bf\red{\mathfrak{Proof:-}}$

(α - β)² = α² + β² - 2αβ

(α - β)² = (α + β)² - 2αβ - 2αβ

(α - β)² = (α + β)² - 4 αβ

$\boxed{\mathtt{\pink{\sf{Hence proved (α - β)² = (α + β)² - 4 αβ }}}}$