Question

Calculați până ajungeți la forma cea mai simplă: a) 3x(x+2) -5(x+2) b)14x(3x-1)-7(3x-1) c)4(2x+4)-x(2x+3) d)3(5x-2)^2+(3x+2)(5x-2) e) 2x(x+3) +(x+3)^2 f)(x+2)^2+(x+3)^2-(3x+1)(3x-1) g)(3x-2)^2+(5x-2)(5x+2) h)(5x+3)(5x-3)-(x-1)^2-(2x-1)^2​

Answer 1

Răspuns:

Salut!

a) 3x² + 10x - 10

b) 42x² - 28x - 7

c) 8x² + 24x - 4

d) 75x² - 17x - 4

e) 2x² + 12x + 9

f) x² + 5x + 6 - 9x + 1

g) 18x² - 8x - 28

h) 5x² - 18x - 7

Explicație pas cu pas:

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

= 3x^2 + 6x - 5x - 10

= 3x^2 - x - 10

b)14x(3x-1)-7(3x-1)

= 42x^2 - 14x - 21x + 7

= 42x^2 - 21x + 7

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

= 8x + 16 - 2x^2 - 3x

= 2x^2 + 5x + 16

d) 3(5x-2)^2+(3x+2)(5x-2)

= 75x^2 - 60x + 12 + 15x^2 - 18x - 6

= 90x^2 - 78x + 6

e) 2x(x+3) +(x+3)^2

= 2x^2 + 9x + x^2 + 9x + 9

= 3x^2 + 18x + 9

f)(x+2)^2+(x+3)^2-(3x+1)(3x-1)

= x^2 + 4x + 4 + x^2 + 6x + 9 - 9x^2 - 6x + 3

= 2x^2 + 10x + 10

g)(3x-2)^2+(5x-2)(5x+2)

= 9x^2 - 12x + 4 + 25x^2 - 10x - 10

= 34x^2 - 22x - 6

h)(5x+3)(5x-3)-(x-1)^2-(2x-1)^2

= 25x^2 - 15x + 15 - x^2 + 2x - 1 - 4x^2 + 4x - 1

= 5x^2 - 7x - 1

Sper ca te am ajutat! Raspunsul este mai sus.