Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-49b^2+64\)
2. \(a^2+2a+1\)
3. \(25x^2-40x+16\)
4. \(36b^2-1\)
5. \(64y^2-112y+49\)
6. \(121-36x^{16}\)
7. \(100s^2+20s+1\)
8. \(121-4p^{14}\)
9. \(49s^2-140s+100\)
10. \(100y^2-60y+9\)
11. \(-64p^2+9\)
12. \(a^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-49b^2+64=(8-7b)(8+7b)\)
2. \(a^2+2a+1=(a+1)^2\)
3. \(25x^2-40x+16=(5x-4)^2\)
4. \(36b^2-1=(6b+1)(6b-1)\)
5. \(64y^2-112y+49=(8y-7)^2\)
6. \(121-36x^{16}=(11-6x^8)(11+6x^8)\)
7. \(100s^2+20s+1=(10s+1)^2\)
8. \(121-4p^{14}=(11-2p^7)(11+2p^7)\)
9. \(49s^2-140s+100=(7s-10)^2\)
10. \(100y^2-60y+9=(10y-3)^2\)
11. \(-64p^2+9=(3-8p)(3+8p)\)
12. \(a^2-49=(a+7)(a-7)\)