Question

A) (2a + 3)² =
B) (a - 1)² =
C) (y - 2)² =
D) (Y + 3)³ =
E) (X - 2)³ =
F) (X + 2) (X - 2) =


assunto PRODUTOS NOTÁVEIS

Answer 1

Oi!

a) (2a + 3)² =

= (2a + 3) × (2a + 3) =

= 2a × 2a + 2a × 3 + 3 × 2a + 3 × 3 =

= 4a² + 6a + 6a + 9

b) (a - 1)² =

= (a - 1) × (a - 1) =

= a × a - a - a - 1 × (-1) =

= a² - a - a + 1 =

= a² - 2a + 1

c) (y - 2)² =

= (y - 2) × (y - 2) =

= y × y - 2y - 2y - 2 × (-2) =

= y² - 2y - 2y + 4 =

= y² - 4y + 4

d) (y + 3)³ =

= (y + 3) × (y + 3) × (y + 3) =

= (y × y + 3y + 3y + 3 × 3) × (y + 3) =

= (y² + 3y + 3y + 9) × (y + 3) =

= (y² + 6y + 9) × (y + 3) =

= (y² × y + 3y² + 6y × y + 6y × 3 + 9y + 9 × 3 =

= y³ + 3y² + 6y² + 18y + 9y + 27 =

= y³ + 9y² + 27y + 27

e) (x - 2)³ =

= (x - 2) × (x - 2) × (x - 2) =

= (x × x - 2x - 2x - 2 × (-2)) × (x - 2) =

= (x² - 2x - 2x + 4) × (x - 2) =

= (x² - 4x + 4) × (x - 2) =

= (x² × x - 2x² - 4x × x - 4x × (-2) + 4x - 4 × 2 =

= x³ - 2x² - 4x² + 8x + 4x - 8 =

= x³ - 6x² + 12x - 8

f) (x + 2)(x - 2) =

= x × x - 2x + 2x - 2 × 2 =

= x² - 2x + 2x - 4 =

= x² - 4

Boa sorte!