Prove that (3x + 7)2 – 42x = 9x2 + 49
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Solution :-
✪ (3x + 7)² - 42x = 9x² + 49
L.H.S :-
❂ (3x + 7)² - 42x
➙ (3x)² + 2 × 3x × 7 + (7)² - 42x
➙ 9x² + 42x + 49 - 42x
➙ 9x² + 42x - 42x + 49
➙ 9x² + 49
R.H.S :-
✱ 9x² + 49
➩ 9x² + 49
∴ L.H.S = R.H.S (Proved)
Formula used :-
✯ (a + b)²
➔ a² + 2ab + b²
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