Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-64\)
2. \(s^2+28s+196\)
3. \(225s^{10}+390s^5+169\)
4. \(25q^2+70q+49\)
5. \(121b^{6}-220b^3q+100q^2\)
6. \(x^2-9\)
7. \(100a^{10}-9x^2\)
8. \(49b^{4}+28b^2+4\)
9. \(p^2+10p+25\)
10. \(s^2-1\)
11. \(64x^{8}-49\)
12. \(36a^{4}+84a^2+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-64=(x+8)(x-8)\)
2. \(s^2+28s+196=(s+14)^2\)
3. \(225s^{10}+390s^5+169=(15s^5+13)^2\)
4. \(25q^2+70q+49=(5q+7)^2\)
5. \(121b^{6}-220b^3q+100q^2=(11b^3-10q)^2\)
6. \(x^2-9=(x-3)(x+3)\)
7. \(100a^{10}-9x^2=(10a^5+3x)(10a^5-3x)\)
8. \(49b^{4}+28b^2+4=(7b^2+2)^2\)
9. \(p^2+10p+25=(p+5)^2\)
10. \(s^2-1=(s-1)(s+1)\)
11. \(64x^{8}-49=(8x^4+7)(8x^4-7)\)
12. \(36a^{4}+84a^2+49=(6a^2+7)^2\)