Question

dau coroana va rog eu mult ​

Answer 1

Răspuns:

Explicație pas cu pas:

1a)

(x + y)*a^2 - (x + y)*b^2 = (x + y)(a^2 - b^2) = (x + y)(a + b)(a - b)

b)

ax^2 + bx^2 - ay^2 - by^2 = x^2(a + b) - y^2(a + b)

= (a + b)(x^2 - y^2) = (a + b)(x + y)(x - y)

c)

49a^2 + 14a(2x + 1) + (2x + 1)^2

= (7a + 2x + 1)^2

d)

(√3 - x)^2 + 6(√3 - x) + 9 = (√3 - x + 3)^2

___________________

2a)

3ax^2 + 4ax^3 + 6a^2x + 8a^2x^2

= 3ax(x + 2a) + 4ax^2(x + 2a)

= (x + 2a)(3ax + 4ax^2) = ax(x + 2a)(3 + 4x)

b)

12a^2b^3 + 4a^2b + 9ab^2 + 3a

= 3ab^2(4ab + 3) + a(4ab + 3)

= a(4ab + 3)(3b^2 + 1)

c)

2xy + 3x^2y - 4x^2y^2 - 6x^3y^2

= 2xy(1 - 2xy) + 3x^2y(1 - 2xy)

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

d)

5x^2 + 2a^2x - 10ax - 4a^3

= 5x(x - 2a) + 2a^2(x - 2a)

= (x - 2a)(5x + 2a^2)