Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225q^2-169\)
2. \(b^2-196\)
3. \(s^2-100\)
4. \(9y^2+60y+100\)
5. \(p^2-2p+1\)
6. \(100q^{6}+220q^3s+121s^2\)
7. \(9b^2-16\)
8. \(100a^{4}-180a^2y+81y^2\)
9. \(1-196s^{14}\)
10. \(49s^{10}+112s^5x+64x^2\)
11. \(y^2-4\)
12. \(81a^{12}-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225q^2-169=(15q+13)(15q-13)\)
2. \(b^2-196=(b-14)(b+14)\)
3. \(s^2-100=(s-10)(s+10)\)
4. \(9y^2+60y+100=(3y+10)^2\)
5. \(p^2-2p+1=(p-1)^2\)
6. \(100q^{6}+220q^3s+121s^2=(10q^3+11s)^2\)
7. \(9b^2-16=(3b+4)(3b-4)\)
8. \(100a^{4}-180a^2y+81y^2=(10a^2-9y)^2\)
9. \(1-196s^{14}=(1-14s^7)(1+14s^7)\)
10. \(49s^{10}+112s^5x+64x^2=(7s^5+8x)^2\)
11. \(y^2-4=(y-2)(y+2)\)
12. \(81a^{12}-169=(9a^6+13)(9a^6-13)\)