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

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

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

a

\(a^{2} + 6 a = a (a + 6)\)

1p

1p

b

\(7 x^{2} - 8 x\)

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

b

\(7 x^{2} - 8 x = x (7 x - 8)\)

1p

1p

c

\(32 a b + 36 a\)

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

c

\(32 a b + 36 a = 4 a (8 b + 9)\)

1p

1p

d

\(4 x y + 6 x z\)

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

d

\(4 x y + 6 x z = 2 x (2 y + 3 z)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(8 p q r + 28 p q\)

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

a

\(8 p q r + 28 p q = 4 p q (2 r + 7)\)

1p

1p

b

\(20 a^{3} - 45 a^{2}\)

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

b

\(20 a^{3} - 45 a^{2} = 5 a^{2} (4 a - 9)\)

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

\(a^{2} + 9 a + 20\)

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

a

\(a^{2} + 9 a + 20 = (a + 4) (a + 5)\)

1p

1p

b

\(p^{2} + 8 p - 9\)

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

b

\(p^{2} + 8 p - 9 = (p - 1) (p + 9)\)

1p

1p

c

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

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

c

\(x^{2} - 6 x + 8 = (x - 2) (x - 4)\)

1p

1p

d

\(a^{2} + 10 a + 25\)

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

d

\(a^{2} + 10 a + 25 = (a + 5) (a + 5)\)

1p

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