4(x-y)²-(x+y)² point lumyan ;)

Pemfaktoran:
a² - b² = (a + b)(a - b)

4(x - y)² - (x + y)²
= 2²(x - y)² - (x + y)²
= (2(x - y))² - (x + y)²
= (2(x - y) + (x + y))(2(x - y) - (x + y))
= (2x - 2y + x + y)(2x - 2y - x - y)
= (3x - y)(x - 3y)

Mapel : Matematika
Kelas : VIII SMP
Materi : Persamaan Kuadrat

Pembahasan :
4(x - y)² - (x + y)²
= 4(x² - 2xy + y²) - (x² + 2xy + y²)
= 4x² - 8xy + 4y² - x² - 2xy - y²
= 3x² - 10xy + 3y²