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

\(a^2+2a\)

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

a

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

1p

1p

b

\(16x^2+36x\)

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

b

\(16x^2+36x=4x(4x+9)\)

1p

1p

c

\(18xy+21x\)

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

c

\(18xy+21x=3x(6y+7)\)

1p

1p

d

\(20pq+35pr\)

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

d

\(20pq+35pr=5p(4q+7r)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(24abc+27ab\)

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

a

\(24abc+27ab=3ab(8c+9)\)

1p

1p

b

\(6a^4-21a^2\)

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

b

\(6a^4-21a^2=3a^2(2a^2-7)\)

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

\(x^2+6x+5\)

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

a

\(x^2+6x+5=(x+1)(x+5)\)

1p

1p

b

\(a^2+5a-24\)

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

b

\(a^2+5a-24=(a+8)(a-3)\)

1p

1p

c

\(x^2-10x+24\)

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

c

\(x^2-10x+24=(x-6)(x-4)\)

1p

1p

d

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

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

d

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

1p

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