Getal & Ruimte (13e editie) - 2 havo/vwo

'Ontbinden in factoren'.

2 havo/vwo 7.1 Buiten haakjes brengen

Ontbinden in factoren (6)

opgave 1

Ontbind in factoren.

1p

a

\(x^{2} + 2 x\)

BuitenHaakjes (1)
00hd - Ontbinden in factoren - basis - 0ms - dynamic variables

a

\(x^{2} + 2 x = x (x + 2)\)

1p

1p

b

\(32 a^{2} + 36 a\)

BuitenHaakjes (2)
00he - Ontbinden in factoren - basis - 0ms - dynamic variables

b

\(32 a^{2} + 36 a = 4 a (8 a + 9)\)

1p

1p

c

\(6 p q + 8 p\)

BuitenHaakjes (3)
00hf - Ontbinden in factoren - basis - 0ms - dynamic variables

c

\(6 p q + 8 p = 2 p (3 q + 4)\)

1p

1p

d

\(8 x y + 20 x z\)

BuitenHaakjes (4)
00hg - Ontbinden in factoren - basis - 0ms - dynamic variables

d

\(8 x y + 20 x z = 4 x (2 y + 5 z)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(12 a b c + 27 a b\)

BuitenHaakjes (5)
00hh - Ontbinden in factoren - basis - 0ms - dynamic variables

a

\(12 a b c + 27 a b = 3 a b (4 c + 9)\)

1p

1p

b

\(4 a^{2} + 10 a^{5}\)

BuitenHaakjes (6)
00hi - Ontbinden in factoren - basis - 0ms - dynamic variables

b

\(4 a^{2} + 10 a^{5} = 2 a^{2} (2 + 5 a^{3})\)

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

\(a^{2} + 13 a + 40\)

SomProductmethode (1)
00hn - Ontbinden in factoren - basis - 0ms - dynamic variables

a

\(a^{2} + 13 a + 40 = (a + 5) (a + 8)\)

1p

1p

b

\(x^{2} - 6 x - 16\)

SomProductmethode (2)
00ho - Ontbinden in factoren - basis - 0ms - dynamic variables

b

\(x^{2} - 6 x - 16 = (x + 2) (x - 8)\)

1p

1p

c

\(x^{2} - 10 x + 9\)

SomProductmethode (3)
00hp - Ontbinden in factoren - basis - 0ms - dynamic variables

c

\(x^{2} - 10 x + 9 = (x - 1) (x - 9)\)

1p

1p

d

\(a^{2} - 18 a + 81\)

SomProductmethode (4)
00hq - Ontbinden in factoren - basis - 0ms - dynamic variables

d

\(a^{2} - 18 a + 81 = (a - 9) (a - 9)\)

1p

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