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2 years ago

(2x + 3y)^2– (2x – 3y)^2

Mathematics

1 answer:

Korolek [52]2 years ago

6 0

Hi,

(2x + 3y)² - (2x - 3y)²

(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²

= [(2x)² + 2x*3y + (3y)²] - [(2x)² - 2x*3y + (3y)²]

= (4x² + 6xy + 9y²) - (4x² - 6xy + 9y²)

= 4x² + 6xy + 9y² - 4x² + 6xy - 9y²

= 12xy

I hope it helped ✅(◠‿◕)

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