Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2+16q+64\)
2. \(b^2-4b+4\)
3. \(-144p^2+25\)
4. \(4a^{10}-9\)
5. \(4a^{10}+52a^5p+169p^2\)
6. \(121x^{14}-144y^2\)
7. \(4a^{10}-1\)
8. \(121q^2-25\)
9. \(49a^{4}+210a^2x+225x^2\)
10. \(4p^2-25\)
11. \(y^2-100\)
12. \(256y^{4}-288y^2+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2+16q+64=(q+8)^2\)
2. \(b^2-4b+4=(b-2)^2\)
3. \(-144p^2+25=(5-12p)(5+12p)\)
4. \(4a^{10}-9=(2a^5+3)(2a^5-3)\)
5. \(4a^{10}+52a^5p+169p^2=(2a^5+13p)^2\)
6. \(121x^{14}-144y^2=(11x^7+12y)(11x^7-12y)\)
7. \(4a^{10}-1=(2a^5+1)(2a^5-1)\)
8. \(121q^2-25=(11q+5)(11q-5)\)
9. \(49a^{4}+210a^2x+225x^2=(7a^2+15x)^2\)
10. \(4p^2-25=(2p+5)(2p-5)\)
11. \(y^2-100=(y+10)(y-10)\)
12. \(256y^{4}-288y^2+81=(16y^2-9)^2\)