Getal & Ruimte (13e editie) - 2 vwo
'Ontbinden in factoren'.
| 2 vwo | 7.1 Buiten haakjes brengen |
opgave 1Ontbind in factoren. 1p a \(p^2+2p\) BuitenHaakjes (1) 00hd - Ontbinden in factoren - basis - 0ms - dynamic variables a \(p^2+2p=p(p+2)\) 1p 1p b \(30x^2+35x\) BuitenHaakjes (2) 00he - Ontbinden in factoren - basis - 0ms - dynamic variables b \(30x^2+35x=5x(6x+7)\) 1p 1p c \(20ab+32a\) BuitenHaakjes (3) 00hf - Ontbinden in factoren - basis - 0ms - dynamic variables c \(20ab+32a=4a(5b+8)\) 1p 1p d \(12xy+28xz\) BuitenHaakjes (4) 00hg - Ontbinden in factoren - basis - 0ms - dynamic variables d \(12xy+28xz=4x(3y+7z)\) 1p opgave 2Ontbind in factoren. 1p a \(8abc+36ab\) BuitenHaakjes (5) 00hh - Ontbinden in factoren - basis - 0ms - dynamic variables a \(8abc+36ab=4ab(2c+9)\) 1p 1p b \(25a^3-45a^5\) BuitenHaakjes (6) 00hi - Ontbinden in factoren - basis - 0ms - dynamic variables b \(25a^3-45a^5=5a^3(5-9a^2)\) 1p 1p c \(7x^3-9x^8+x^2\) BuitenHaakjes (7) 00hj - Ontbinden in factoren - basis - 0ms - dynamic variables c \(7x^3-9x^8+x^2=x^2(7x-9x^6+1)\) 1p 1p d \(15xy+25x^2y^2\) BuitenHaakjes (8) 00hk - Ontbinden in factoren - basis - 0ms - dynamic variables d \(15xy+25x^2y^2=5xy(3+5xy)\) 1p opgave 3Ontbind in factoren. 1p a \(a^2-100\) Verschil2Kwadraten (1) 00hl - Ontbinden in factoren - basis - 0ms - dynamic variables a \(a^2-100=(a-10)(a+10)\) 1p 1p b \(64p^2-81\) Verschil2Kwadraten (2) 00hm - Ontbinden in factoren - basis - 1ms - dynamic variables b \(64p^2-81=(8p-9)(8p+9)\) 1p 1p c \(9-49a^2\) Verschil2Kwadraten (3) 00hs - Ontbinden in factoren - basis - 1ms - dynamic variables c \(9-49a^2=(3-7a)(3+7a)\) 1p 1p d \(121x^{10}-36\) Verschil2Kwadraten (4) 00ht - Ontbinden in factoren - basis - 0ms - dynamic variables d \(121x^{10}-36=(11x^5-6)(11x^5+6)\) 1p opgave 4Ontbind in factoren. 1p a \(16p^2-100\) Verschil2Kwadraten (5) 00hu - Ontbinden in factoren - basis - 1ms - dynamic variables a \(16p^2-100=4(4p^2-25)=4(2p-5)(2p+5)\) 1p 1p b \(12a^4-3a^2\) Verschil2Kwadraten (6) 00hv - Ontbinden in factoren - basis - 1ms - dynamic variables b \(12a^4-3a^2=3a^2(4a^2-1)=3a^2(2a-1)(2a+1)\) 1p 1p c \(x^8-81\) Verschil2Kwadraten (7) 00hw - Ontbinden in factoren - basis - 1ms - dynamic variables c \(x^8-81=(x^4-9)(x^4+9)=(x^2-3)(x^2+3)(x^4+9)\) 1p 1p d \(2a^7-2a^3\) Verschil2Kwadraten (8) 00hx - Ontbinden in factoren - basis - 1ms - dynamic variables d \(2a^7-2a^3=2a^3(a^4-1)=2a^3(a^2-1)(a^2+1)=2a^3(a-1)(a+1)(a^2+1)\) 1p opgave 5Ontbind in factoren. 1p \(p^4q^8-16r^8\) Verschil2Kwadraten (9) 00hz - Ontbinden in factoren - basis - 0ms - dynamic variables ○ \(p^4q^8-16r^8=(p^2q^4-4r^4)(p^2q^4+4r^4)\) 1p |
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| 2 vwo | 7.2 De product-som methode |
opgave 1Ontbind in factoren. 1p a \(p^2+11p+24\) SomProductmethode (1) 00hn - Ontbinden in factoren - basis - 0ms - dynamic variables a \(p^2+11p+24=(p+8)(p+3)\) 1p 1p b \(a^2-4a-32\) SomProductmethode (2) 00ho - Ontbinden in factoren - basis - 0ms - dynamic variables b \(a^2-4a-32=(a-8)(a+4)\) 1p 1p c \(a^2-10a+24\) SomProductmethode (3) 00hp - Ontbinden in factoren - basis - 0ms - dynamic variables c \(a^2-10a+24=(a-4)(a-6)\) 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 \(4x^3-28x^2-72x\) SomProductmethode (5) 00hr - Ontbinden in factoren - basis - 1ms - dynamic variables a \(4x^3-28x^2-72x=4x(x^2-7x-18)=4x(x+2)(x-9)\) 1p 1p b \(a^{12}-9a^6+18\) SomProductmethode (6) 00hy - Ontbinden in factoren - basis - 0ms - dynamic variables b \(a^{12}-9a^6+18=(a^6-3)(a^6-6)\) 1p |