Question

A (3x+2)2 b (5x-2y)2 c(2a-3b).(2a+3b)d(2x+1)3e(3x-4y)3 produtos notaveis

Answer 1

Olá, Wesleysilvamaca!

a) (3x+2)²
(3x)² + 2.3x.2 + 2²
9x² - 12x + 4

Δ = b² - 4.a.c
Δ = (-12)² - 4.9.4
Δ = 144 - 144
Δ = 0

b) (5x-2y)²
(5x)² - 2.5x.2y + (2y)²
25x² - 20xy + 4y²

c) (2a-3b) . (2a+3b)
4a² + 6ab - 6ab - 9b²
4a² - 9b²

d) (2x+1)³
(2x+1) . (2x+1) . (2x+1)
(4x² + 2x + 2x + 1) . (2x+1)
(4x² + 4x + 1) . (2x + 1)
8x³ + 4x² + 8x² + 4x + 2x + 1
8x³ + 12x² + 6x + 1

e) (3x-4y)³
(3x - 4y) . (3x - 4y) . (3x - 4y)
(9x² - 12xy - 12xy + 16y²) . (3x - 4y)
(9x² - 24xy + 16y²) . (3x - 4y)
(27x³ - 36x²y - 72x²y + 96xy² + 48xy² - 64y³)
(27x³ - 64y³ - 36x²y - 72x²y + 96xy² + 48xy²)
-37y³ - 36x²y + 144xy²