Getal & Ruimte (13e editie) - 3 havo

'Ontbinden in factoren'.

2 havo/vwo 7.1 Buiten haakjes brengen

Ontbinden in factoren (6)

opgave 1

Ontbind in factoren.

1p

a

\(p^{2} + 3 p\)

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

a

\(p^{2} + 3 p = p (p + 3)\)

1p

1p

b

\(9 x^{2} + 21 x\)

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

b

\(9 x^{2} + 21 x = 3 x (3 x + 7)\)

1p

1p

c

\(9 x y + 12 x\)

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

c

\(9 x y + 12 x = 3 x (3 y + 4)\)

1p

1p

d

\(6 a b + 9 a c\)

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

d

\(6 a b + 9 a c = 3 a (2 b + 3 c)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(12 a b c + 32 a b\)

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

a

\(12 a b c + 32 a b = 4 a b (3 c + 8)\)

1p

1p

b

\(9 x^{3} - 12 x^{5}\)

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

b

\(9 x^{3} - 12 x^{5} = 3 x^{3} (3 - 4 x^{2})\)

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

\(p^{2} + 17 p + 72\)

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

a

\(p^{2} + 17 p + 72 = (p + 9) (p + 8)\)

1p

1p

b

\(x^{2} - 6 x - 7\)

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

b

\(x^{2} - 6 x - 7 = (x - 7) (x + 1)\)

1p

1p

c

\(a^{2} - 13 a + 42\)

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

c

\(a^{2} - 13 a + 42 = (a - 7) (a - 6)\)

1p

1p

d

\(a^{2} + 16 a + 64\)

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

d

\(a^{2} + 16 a + 64 = (a + 8) (a + 8)\)

1p

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