Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25p^2-144\)
2. \(a^2-225\)
3. \(25-36p^{12}\)
4. \(9q^{6}-196y^2\)
5. \(4s^{8}-225\)
6. \(9b^{10}-49q^2\)
7. \(225b^{6}+120b^3y+16y^2\)
8. \(9q^{8}-12q^4y+4y^2\)
9. \(-25b^2+1\)
10. \(225q^{10}-49s^2\)
11. \(a^2-2a+1\)
12. \(225-196x^{8}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25p^2-144=(5p+12)(5p-12)\)
2. \(a^2-225=(a+15)(a-15)\)
3. \(25-36p^{12}=(5-6p^6)(5+6p^6)\)
4. \(9q^{6}-196y^2=(3q^3+14y)(3q^3-14y)\)
5. \(4s^{8}-225=(2s^4+15)(2s^4-15)\)
6. \(9b^{10}-49q^2=(3b^5+7q)(3b^5-7q)\)
7. \(225b^{6}+120b^3y+16y^2=(15b^3+4y)^2\)
8. \(9q^{8}-12q^4y+4y^2=(3q^4-2y)^2\)
9. \(-25b^2+1=(1-5b)(1+5b)\)
10. \(225q^{10}-49s^2=(15q^5+7s)(15q^5-7s)\)
11. \(a^2-2a+1=(a-1)^2\)
12. \(225-196x^{8}=(15-14x^4)(15+14x^4)\)