Getal & Ruimte (13e editie) - 2 vwo
'Ontbinden in factoren'.
| 2 vwo | 7.1 Buiten haakjes brengen |
opgave 1Ontbind in factoren. 1p a \(x^2+x\) BuitenHaakjes (1) 00hd - Ontbinden in factoren - basis - 0ms - dynamic variables a \(x^2+x=x(x+1)\) 1p 1p b \(4p^2-7p\) BuitenHaakjes (2) 00he - Ontbinden in factoren - basis - 0ms - dynamic variables b \(4p^2-7p=p(4p-7)\) 1p 1p c \(10ab+18a\) BuitenHaakjes (3) 00hf - Ontbinden in factoren - basis - 0ms - dynamic variables c \(10ab+18a=2a(5b+9)\) 1p 1p d \(6ab+21ac\) BuitenHaakjes (4) 00hg - Ontbinden in factoren - basis - 0ms - dynamic variables d \(6ab+21ac=3a(2b+7c)\) 1p opgave 2Ontbind in factoren. 1p a \(20xyz+36xy\) BuitenHaakjes (5) 00hh - Ontbinden in factoren - basis - 0ms - dynamic variables a \(20xyz+36xy=4xy(5z+9)\) 1p 1p b \(40a^5-45a^4\) BuitenHaakjes (6) 00hi - Ontbinden in factoren - basis - 0ms - dynamic variables b \(40a^5-45a^4=5a^4(8a-9)\) 1p 1p c \(5a^7-6a^8+a\) BuitenHaakjes (7) 00hj - Ontbinden in factoren - basis - 0ms - dynamic variables c \(5a^7-6a^8+a=a(5a^6-6a^7+1)\) 1p 1p d \(10x^5y^2+14x^3y\) BuitenHaakjes (8) 00hk - Ontbinden in factoren - basis - 0ms - dynamic variables d \(10x^5y^2+14x^3y=2x^3y(5x^2y+7)\) 1p opgave 3Ontbind in factoren. 1p a \(p^2-1\) Verschil2Kwadraten (1) 00hl - Ontbinden in factoren - basis - 0ms - dynamic variables a \(p^2-1=(p-1)(p+1)\) 1p 1p b \(144x^2-1\) Verschil2Kwadraten (2) 00hm - Ontbinden in factoren - basis - 1ms - dynamic variables b \(144x^2-1=(12x-1)(12x+1)\) 1p 1p c \(121-100x^2\) Verschil2Kwadraten (3) 00hs - Ontbinden in factoren - basis - 1ms - dynamic variables c \(121-100x^2=(11-10x)(11+10x)\) 1p 1p d \(81p^4-49\) Verschil2Kwadraten (4) 00ht - Ontbinden in factoren - basis - 1ms - dynamic variables d \(81p^4-49=(9p^2-7)(9p^2+7)\) 1p opgave 4Ontbind in factoren. 1p a \(75x^2-48\) Verschil2Kwadraten (5) 00hu - Ontbinden in factoren - basis - 1ms - dynamic variables a \(75x^2-48=3(25x^2-16)=3(5x-4)(5x+4)\) 1p 1p b \(50a^3-2a\) Verschil2Kwadraten (6) 00hv - Ontbinden in factoren - basis - 1ms - dynamic variables b \(50a^3-2a=2a(25a^2-1)=2a(5a-1)(5a+1)\) 1p 1p c \(a^4-16\) Verschil2Kwadraten (7) 00hw - Ontbinden in factoren - basis - 0ms - dynamic variables c \(a^4-16=(a^2-4)(a^2+4)=(a-2)(a+2)(a^2+4)\) 1p 1p d \(2a^{11}-32a^3\) Verschil2Kwadraten (8) 00hx - Ontbinden in factoren - basis - 1ms - dynamic variables d \(2a^{11}-32a^3=2a^3(a^8-16)=2a^3(a^4-4)(a^4+4)=2a^3(a^2-2)(a^2+2)(a^4+4)\) 1p opgave 5Ontbind in factoren. 1p \(x^6y^{10}-64z^8\) Verschil2Kwadraten (9) 00hz - Ontbinden in factoren - basis - 0ms - dynamic variables ○ \(x^6y^{10}-64z^8=(x^3y^5-8z^4)(x^3y^5+8z^4)\) 1p |
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| 2 vwo | 7.2 De product-som methode |
opgave 1Ontbind in factoren. 1p a \(a^2+12a+32\) SomProductmethode (1) 00hn - Ontbinden in factoren - basis - 0ms - dynamic variables a \(a^2+12a+32=(a+8)(a+4)\) 1p 1p b \(p^2-4p-12\) SomProductmethode (2) 00ho - Ontbinden in factoren - basis - 0ms - dynamic variables b \(p^2-4p-12=(p-6)(p+2)\) 1p 1p c \(x^2-12x+27\) SomProductmethode (3) 00hp - Ontbinden in factoren - basis - 0ms - dynamic variables c \(x^2-12x+27=(x-3)(x-9)\) 1p 1p d \(x^2-8x+16\) SomProductmethode (4) 00hq - Ontbinden in factoren - basis - 0ms - dynamic variables d \(x^2-8x+16=(x-4)(x-4)\) 1p opgave 2Ontbind in factoren. 1p a \(5a^4-15a^3-270a^2\) SomProductmethode (5) 00hr - Ontbinden in factoren - basis - 1ms - dynamic variables a \(5a^4-15a^3-270a^2=5a^2(a^2-3a-54)=5a^2(a-9)(a+6)\) 1p 1p b \(p^8+2p^4-63\) SomProductmethode (6) 00hy - Ontbinden in factoren - basis - 0ms - dynamic variables b \(p^8+2p^4-63=(p^4+9)(p^4-7)\) 1p |