Question

efetue os produtos notaveis a)(3x+2y)² b)(5x-4y)² c)(4x+5y)(4x-3y)

Answer 1

Oie, Td Bom?!

a)

$= (3x + 2y) {}^{2}$

$= (3x) {}^{2} + 2 \: . \: 3x \: . \: 2y + (2y) {}^{2}$

$= 9x {}^{2} + 12xy + 4y {}^{2}$

b)

$= (5x - 4y) {}^{2}$

$= (5x) {}^{2} - 2 \: . \: 5x \: . \: 4y + (4y) {}^{2}$

$= 25x {}^{2} - 40xy + 16y {}^{2}$

c)

$= (4x + 5y) \: . \: (4x - 3y)$

$= 4x \: . \: (4x - 3y) + 5y \: . \: (4x - 3y)$

$= 16x {}^{2} - 12xy + 20xy - 15y {}^{2}$

$= 16x {}^{2} + 8xy - 15y {}^{2}$

Att. Makaveli1996