Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-36\)
2. \(q^2+30q+225\)
3. \(x^2-49\)
4. \(16x^{6}+56x^3+49\)
5. \(169x^2-225q^{8}\)
6. \(100-9b^{12}\)
7. \(p^2-144\)
8. \(16x^2+40x+25\)
9. \(100b^{8}+220b^4s+121s^2\)
10. \(16a^{8}+24a^4+9\)
11. \(36s^{6}-132s^3+121\)
12. \(225y^2-49a^{4}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-36=(b+6)(b-6)\)
2. \(q^2+30q+225=(q+15)^2\)
3. \(x^2-49=(x-7)(x+7)\)
4. \(16x^{6}+56x^3+49=(4x^3+7)^2\)
5. \(169x^2-225q^{8}=(13x-15q^4)(13x+15q^4)\)
6. \(100-9b^{12}=(10-3b^6)(10+3b^6)\)
7. \(p^2-144=(p+12)(p-12)\)
8. \(16x^2+40x+25=(4x+5)^2\)
9. \(100b^{8}+220b^4s+121s^2=(10b^4+11s)^2\)
10. \(16a^{8}+24a^4+9=(4a^4+3)^2\)
11. \(36s^{6}-132s^3+121=(6s^3-11)^2\)
12. \(225y^2-49a^{4}=(15y-7a^2)(15y+7a^2)\)