Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4x^{6}-9y^2\)
2. \(4y^2-169\)
3. \(p^2-22p+121\)
4. \(x^2-81\)
5. \(25-81p^{10}\)
6. \(225q^{8}-60q^4+4\)
7. \(4x^2+44x+121\)
8. \(9y^2-12y+4\)
9. \(169q^{8}+312q^4x+144x^2\)
10. \(144q^{12}-121\)
11. \(49q^2+28q+4\)
12. \(64p^{16}-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4x^{6}-9y^2=(2x^3+3y)(2x^3-3y)\)
2. \(4y^2-169=(2y+13)(2y-13)\)
3. \(p^2-22p+121=(p-11)^2\)
4. \(x^2-81=(x+9)(x-9)\)
5. \(25-81p^{10}=(5-9p^5)(5+9p^5)\)
6. \(225q^{8}-60q^4+4=(15q^4-2)^2\)
7. \(4x^2+44x+121=(2x+11)^2\)
8. \(9y^2-12y+4=(3y-2)^2\)
9. \(169q^{8}+312q^4x+144x^2=(13q^4+12x)^2\)
10. \(144q^{12}-121=(12q^6+11)(12q^6-11)\)
11. \(49q^2+28q+4=(7q+2)^2\)
12. \(64p^{16}-49=(8p^8+7)(8p^8-7)\)