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1) 3(1 + 2xy)(1 - 2xy) = 3(1² - (2xy)²) = 3(1 - 4x²y²) = 3 - 12x²y²
2) (a + 6)² - (a - 6)² = (a + 6 - a + 6)(a + 6 + a - 6) = 12 * 2a = 24a
3) (2x - 3y)² = (2x)² - 2 * 2x * 3y + (3y)² = 4x² - 12xy + 9y²
4) 16y² - 49 = 0
(4y)² - 7² = 0
(4y - 7)(4y + 7) = 0
или 4y - 7 = 0 или 4y + 7 = 0
4y = 7 4y = - 7
y₁ = 1,75 y₂ = - 1,75
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Verified answer
4.
5.
Verified answer
1) 3(1 + 2xy)(1 - 2xy) = 3(1² - (2xy)²) = 3(1 - 4x²y²) = 3 - 12x²y²
2) (a + 6)² - (a - 6)² = (a + 6 - a + 6)(a + 6 + a - 6) = 12 * 2a = 24a
3) (2x - 3y)² = (2x)² - 2 * 2x * 3y + (3y)² = 4x² - 12xy + 9y²
4) 16y² - 49 = 0
(4y)² - 7² = 0
(4y - 7)(4y + 7) = 0
или 4y - 7 = 0 или 4y + 7 = 0
4y = 7 4y = - 7
y₁ = 1,75 y₂ = - 1,75