Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-121\)
2. \(-9q^2+25\)
3. \(y^2+30y+225\)
4. \(q^2-16\)
5. \(36x^2-121\)
6. \(36x^2+156x+169\)
7. \(x^2-225\)
8. \(144a^{10}-168a^5+49\)
9. \(225x^{4}+240x^2+64\)
10. \(36x^{4}-121\)
11. \(25q^2-64p^{4}\)
12. \(b^2-28b+196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-121=(b+11)(b-11)\)
2. \(-9q^2+25=(5-3q)(5+3q)\)
3. \(y^2+30y+225=(y+15)^2\)
4. \(q^2-16=(q-4)(q+4)\)
5. \(36x^2-121=(6x+11)(6x-11)\)
6. \(36x^2+156x+169=(6x+13)^2\)
7. \(x^2-225=(x-15)(x+15)\)
8. \(144a^{10}-168a^5+49=(12a^5-7)^2\)
9. \(225x^{4}+240x^2+64=(15x^2+8)^2\)
10. \(36x^{4}-121=(6x^2+11)(6x^2-11)\)
11. \(25q^2-64p^{4}=(5q-8p^2)(5q+8p^2)\)
12. \(b^2-28b+196=(b-14)^2\)