kibrahim1738 kibrahim1738
  • 03-01-2024
  • Mathematics
contestada

What expression is equivalent to (5z²+3z+ 2)²?
O 5z²+3z²+4
5z²+9z²+4
25z4+30z³+19z²+12z+4
O 25z4+30z³+29z²+12z+4

Respuesta :

devishri1977
devishri1977 devishri1977
  • 03-01-2024

Answer:

25z⁴ + 30z³ + 29z² + 12z + 4

Step-by-step explanation:

We have to use the algebraic identity, (a + b + c)² = a² + b² + c² + 2ab +2bc + 2ca

Here, a = 5z² ; b =3z +; c =2

(5z² + 3z + 2)² = (5z²)² + (3z)² + 2² + 2*(5z²)*(3z) +2*(3z)*2 + 2*2*5z²

                       = 25z⁴ + 9z² + 4 +30z³ + 12z + 20z²

                       = 25z⁴ + 9z² + 20z² + 30z³ + 12z + 4

Combine like terms,

                      = 25z⁴ + 30z³ + 20z² + 12z + 4

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