Question

1. Si: (5x2 +3y)2 ≡ Mx4 + Nx2y + Py2 Hallar: M + N + P

Answer 1

Hallar M + N + p

Utilizas productos notables.
(a + b)² = a² + 2ab + b²

(5x² + 3y)² =
(5x²)² + 2(5x²)(3y) + (3y)² =
5²x⁴ + 30x²y + 3²y² =
25x⁴ + 30x²y + 9y²

25x⁴ = Mx⁴
25x⁴/x⁴ = M
25 = M

30x²y = Nx²y
30x²y/x²y = N
30 = N

9y² = py²
9y²/y² = P
9 = P

M + N + P = 25 + 30 + 9 = 64

Respuesta.
M+N+P = 64