Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256a^{4}+288a^2p+81p^2\)
2. \(100-49q^{14}\)
3. \(169-4x^{4}\)
4. \(49y^2-169s^{6}\)
5. \(64x^{8}+80x^4+25\)
6. \(a^2+26a+169\)
7. \(y^2+6y+9\)
8. \(144s^2-49\)
9. \(b^2+30b+225\)
10. \(64b^{16}-121x^2\)
11. \(s^2+16s+64\)
12. \(4b^{4}+44b^2+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256a^{4}+288a^2p+81p^2=(16a^2+9p)^2\)
2. \(100-49q^{14}=(10-7q^7)(10+7q^7)\)
3. \(169-4x^{4}=(13-2x^2)(13+2x^2)\)
4. \(49y^2-169s^{6}=(7y-13s^3)(7y+13s^3)\)
5. \(64x^{8}+80x^4+25=(8x^4+5)^2\)
6. \(a^2+26a+169=(a+13)^2\)
7. \(y^2+6y+9=(y+3)^2\)
8. \(144s^2-49=(12s+7)(12s-7)\)
9. \(b^2+30b+225=(b+15)^2\)
10. \(64b^{16}-121x^2=(8b^8+11x)(8b^8-11x)\)
11. \(s^2+16s+64=(s+8)^2\)
12. \(4b^{4}+44b^2+121=(2b^2+11)^2\)