Question

Am nevoie de exercitiul 4 urgent si nu stiu cum sa il fac am nevoie de ajutor.
Dau coroana

Answer 1

Folosim pentru calcul formula a² - b² = (a - b)(a + b)

a) (3x - 2)² - 16x² =

= (3x - 2 - 4x)(3x - 2 + 4x)

= (- x - 2)(7x - 2)

b) 9(x - 2)² - 4x² =

= [3(x- 2) - 2x]×[3(x - 2) + 2x]

= (3x - 6 - 2x)(3x - 6 + 2x)

= (x - 6)(5x - 6)

c) (2x + 3)²- (x - 5)² =

= (2x + 3 - x + 5)(2x + 3 + x - 5)

= (x + 8)(3x - 2)

d) 4(x + 5)² - (x - 1)² =

= (2x + 10 - x + 1)(2x + 10 + x - 1)

= (x + 11)(3x + 9)

= 3(x + 3)(x + 11)

e) (x² + 2x - 2)- (x + 3)² =

= (x² + 3x + 1 - x - 3)(x² + 3x + 1 + x + 3)

= (x² + 2x - 2)(x² + 4x + 4)

= (x² + 2x - 2)(x + 2)²

f) (x² + 2x - 3)² - (x - 1)² =

= (x² + 2x - 3 - x + 1)(x² + 2x - 3 + x - 1)

= (x² + x - 2)(x² + 3x - 4)

= (x² + 2x - x - 2)(x² + 4x - x - 4)

= [x(x + 2) - (x + 2)]×[x(x + 4) - (x + 4)]

= (x - 1)(x + 2)(x - 1)(x + 4)

= (x - 1)²(x + 2)(x + 4)