Page 147 - Matemática Primaria / Libro de Área

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Observa y analiza la resolución de las siguientes operaciones con polinomios.

Sean: c. P(x, y) + V(x, y)

P(x, y) = –6x + 2y – 3xy + 6xy 2
Resolución:
2
3
Q(x) = 4x – 2x + 8x – 6
=(–6x + 2y – 3xy + 6xy ) +
2

2
3
R(w) = –6w + 8w + 3w – 4 (12xy – 10xy – 4y + 8x)
2

2
2
N(a,b) = 4ab – 14a b – 8ab – 6a =(–6 + 8)x + (2 – 4)y + (–3 – 10)xy +
2
S(x) = –2x + 6x – 8 (6 + 12)xy 2
2
2
3
T(w) = 4w + 5w – 6 = 2x – 2y – 13xy + 18xy
2

2
B(a, b) = 4a – 8ab + 6a b – 10ab 2 P(x, y)+ V(x, y) = 2x – 2y – 13xy + 18xy
2
V(x, y) = 12xy – 10xy – 4y + 8x
d. B(a,b) – N(a,b)
Calcular:
Resolución:
a. N(a,b) + B(a,b) =(4a – 8ab + 6a b – 10ab ) –
2
2

Álgebra Resolución: 2 2 (4ab – 14a b – 8ab – 6a)
2

2
= (4ab – 14a b – 8ab – 6a ) +

2
2
(4a – 8ab + 6a b – 10ab ) = 4a – 8ab + 6a b – 10ab –
2
2

2
2

4ab + 14a b + 8ab + 6a
= (4 – 8)ab + (–14 + 6)a b + =(4 + 6)a + (–8 + 4)ab + (6 + 14)a b +
2
2
2
(–8 – 10)ab + (–6 + 4)a (–10 + 8)ab 2
2
2
= –4ab – 8a b – 18ab – 2a = 10a – 4ab + 20a b – 2ab
2
2
2
B(a,b) – N(a,b) = 10a – 4ab + 20a b – 2ab 2
2
2
N(a,b)+ B(a,b)= –4ab – 8a b – 18ab – 2a

b. S(x) x Q(x) e. T(w) x R(w)

Resolución: Resolución:
=(4w + 5w – 6)(3w + 6w + 8w – 4)
3
2
2
3
–2x + 6x – 8 x
2
4
5
5
3
6
4x + 2x + 8x – 6 = 12w – 24w + 32w – 16w + 15w
3
2
4
3
2
3
12x 2 – 36x + 48 – 30w + 40w – 20w – 18w + 36w 2
–16x + 48x 2 – 64x – 48w + 24
3
4x – 12x + 16x 2
3
4
5
6
4
–8x + 24x – 32x 3 = 12w – 9w + 2w + 6w 3
4
5
–8x + 28x – 60x 3 + 76x 2 – 100x + 48 + 16w – 48w + 24
2
5
4
4
3
6
5
S(x) x Q(x) = –8x + 28x – 60x + 76x – T(w) x R(w) = 12w – 9w + 2w + 6w +
5
2
4
3

2
100x + 48 16w – 48w + 24
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