Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9s^2-30s+25\)
2. \(4b^{4}-169x^2\)
3. \(16b^2+88b+121\)
4. \(169q^{8}-9y^2\)
5. \(4p^{6}+20p^3x+25x^2\)
6. \(144y^{12}-121\)
7. \(144s^2-a^{12}\)
8. \(36b^{6}-25y^2\)
9. \(81a^{6}+18a^3b+1b^2\)
10. \(36y^2-1\)
11. \(25y^{8}+140y^4+196\)
12. \(49q^{4}+56q^2y+16y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9s^2-30s+25=(3s-5)^2\)
2. \(4b^{4}-169x^2=(2b^2+13x)(2b^2-13x)\)
3. \(16b^2+88b+121=(4b+11)^2\)
4. \(169q^{8}-9y^2=(13q^4+3y)(13q^4-3y)\)
5. \(4p^{6}+20p^3x+25x^2=(2p^3+5x)^2\)
6. \(144y^{12}-121=(12y^6+11)(12y^6-11)\)
7. \(144s^2-a^{12}=(12s-a^6)(12s+a^6)\)
8. \(36b^{6}-25y^2=(6b^3+5y)(6b^3-5y)\)
9. \(81a^{6}+18a^3b+1b^2=(9a^3+b)^2\)
10. \(36y^2-1=(6y+1)(6y-1)\)
11. \(25y^{8}+140y^4+196=(5y^4+14)^2\)
12. \(49q^{4}+56q^2y+16y^2=(7q^2+4y)^2\)