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

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

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

a

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

1p

1p

b

\(25 p^{2} - 30 p\)

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

b

\(25 p^{2} - 30 p = 5 p (5 p - 6)\)

1p

1p

c

\(16 a b + 36 a\)

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

c

\(16 a b + 36 a = 4 a (4 b + 9)\)

1p

1p

d

\(24 x y + 27 x z\)

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

d

\(24 x y + 27 x z = 3 x (8 y + 9 z)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(12 x y z + 15 x y\)

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

a

\(12 x y z + 15 x y = 3 x y (4 z + 5)\)

1p

1p

b

\(24 a^{3} + 27 a^{5}\)

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

b

\(24 a^{3} + 27 a^{5} = 3 a^{3} (8 + 9 a^{2})\)

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

\(x^{2} + 12 x + 27\)

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

a

\(x^{2} + 12 x + 27 = (x + 9) (x + 3)\)

1p

1p

b

\(x^{2} - 3 x - 54\)

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

b

\(x^{2} - 3 x - 54 = (x - 9) (x + 6)\)

1p

1p

c

\(a^{2} - 6 a + 5\)

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

c

\(a^{2} - 6 a + 5 = (a - 5) (a - 1)\)

1p

1p

d

\(p^{2} - 8 p + 16\)

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

d

\(p^{2} - 8 p + 16 = (p - 4) (p - 4)\)

1p

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