show that 3x+7 square - 84 x = 3x -7 whole square
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Answer:
Use the factorization for a difference of squares:
- a² - b² = (a - b)(a + b)
So...
(3x + 7)² - (3x - 7)²
= [ (3x + 7) - (3x - 7) ] [ (3x + 7) + (3x - 7) ]
= [ 14 ] [ 6x ]
= 84x
⇒ (3x + 7)² - 84x = (3x - 7)²
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