Question

Tema: Productos notables

Answer 1

$\large\boxed{\mathsf{Tema: Productos \: notables}}}$

(5x² + 4y)(5x² - 4y) = 25x⁴ - 16y²

Rpta: 25x⁴ - 16y²

(2x² - 2y²)² = (2x²)² - 2(2x²)(2y²) + (2y²)² = 4x⁴ - 8x²y² + 4x⁴

Rpta: 4x⁴ - 8x²y² + 4x⁴

(x + 13)(x + 11) = x² + (13 + 11)x + (13)(11) = x² + 24x + 143

Rpta: x² + 24x + 143

(ab - a)² = (ab)² - 2(ab)(a) + a² = ab² - 2a²b + a²

Rpta: ab² - 2a²b + a²

(3m² + 2)(3m² - 4) = (3m²)² + (2 + (-4))3m² + (2)(-4) = 3m⁴ - 6m² - 8

Rpta: 3m⁴ - 6m² - 8

(b + ab)(b - ab) = b² - ab²

Rpta: b² - ab²

(4x - 2)³ = (4x)³ - 3(4x)²(2) + 3(4x)(2)² - (2)³ = 64x³ - 24x² + 48x - 8

Rpta: 64x³ - 24x² + 48x - 8