Question

Simplify: (2x+5)2 - (2x−5)2

Answer 1

Answer:

0 is the correct answer....

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Answer 2

$\sf If \: it \: is \: (2x+5)2 - (2x-5)2$

$\sf Then \: solution :$

$\sf = (2x+5)2 - (2x-5)2$

$\sf = 4x+10 - (4x - 10)$

$\sf = 4x+10 - 4x + 10$

$\sf = 4x - 4x +10 + 10$

$\sf = 20$

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$\sf If \: it \: is \: (2x+5)² - (2x-5)²$

$\sf Then \: solution :$

$\sf = (2x+5)² - (2x-5)²$

$\sf By \: using \: identity \: (a+b)² = a² + b² +2ab$

$\sf and \: (a-b)² = a² + b² -2ab$

$\sf = (4x² + 25 + 2 × 2x × 5) - (4x² + 25 - 2 × 2x × 5)$

$\sf = 4x² + 25 + 20x - 4x² - 25 + 20x$

$\sf = 4x² - 4x² + 25 -25 + 20x + 20x$

$\sf = 40x$