Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-49b^2+36\)
2. \(81b^{10}+18b^5x+1x^2\)
3. \(a^2+30a+225\)
4. \(a^2-144\)
5. \(225x^{6}+210x^3+49\)
6. \(p^2+2p+1\)
7. \(y^2-36\)
8. \(b^2-9\)
9. \(4p^{16}-9x^2\)
10. \(121a^{8}+264a^4+144\)
11. \(-169b^2+144\)
12. \(169b^{6}+156b^3x+36x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-49b^2+36=(6-7b)(6+7b)\)
2. \(81b^{10}+18b^5x+1x^2=(9b^5+x)^2\)
3. \(a^2+30a+225=(a+15)^2\)
4. \(a^2-144=(a+12)(a-12)\)
5. \(225x^{6}+210x^3+49=(15x^3+7)^2\)
6. \(p^2+2p+1=(p+1)^2\)
7. \(y^2-36=(y+6)(y-6)\)
8. \(b^2-9=(b+3)(b-3)\)
9. \(4p^{16}-9x^2=(2p^8+3x)(2p^8-3x)\)
10. \(121a^{8}+264a^4+144=(11a^4+12)^2\)
11. \(-169b^2+144=(12-13b)(12+13b)\)
12. \(169b^{6}+156b^3x+36x^2=(13b^3+6x)^2\)