Question

Simplifique/fatore as expressões.
a) (x - 3)²- (x - 2)• (x + 2) - (x + 1)²
b) (2x – 3y) •(2x + 3y) – (3x – 2y)²
c) 3(m - 1)² + 2(1 + m) • (1 - m)
d) (y - 3)² – (3y + 2)² + 2(y + 4)•(y - 4)

me ajudem por favorrrr​

Answer 1

Resposta:

a) (x - 3)²- (x - 2)• (x + 2) - (x + 1)²

${x}^{2} - 6x + 9 - ( {x}^{2} + 2x - 2x + 4) - ( {x}^{2} + 2x + 1) \\ {x}^{2} - 6x + 9 - {x}^{2} - 2x + 2x - 4 - {x}^{2} - 2x - 1 \\ - {x}^{2} - 8x + 4$

c) 3(m - 1)² + 2(1 + m) • (1 - m)

$3 \times ( {m}^{2} - 2m + 1) + 2 \times (1 - m + m - {m}^{2} ) \\ 3 {m}^{2} - 6m + 3 + 2 - 2m + 2m - 2 {m}^{2} \\ {m}^{2} - 6m + 5$

d) (y - 3)² – (3y + 2)² + 2(y + 4)•(y - 4)

${y}^{2} - 6y + 9 - (9 {y}^{2} + 12y + 4) + 2 \times ( {y}^{2} - 4y + 4y - 16) \\ {y}^{2} - 6y + 9 - 9 {y}^{2} - 12y - 4 + 2 {y}^{2} - 8y + 8y - 32 \\ - 6 {y}^{2} - 18y - 27$