Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-64y^2+121\)
2. \(a^{12}-225s^2\)
3. \(49s^2-225\)
4. \(b^2+4b+4\)
5. \(64p^{8}-80p^4s+25s^2\)
6. \(121p^2+154p+49\)
7. \(q^2+30q+225\)
8. \(9s^2+42s+49\)
9. \(225q^2-4a^{4}\)
10. \(s^{10}-36x^2\)
11. \(1-4a^{16}\)
12. \(81b^2-234b+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-64y^2+121=(11-8y)(11+8y)\)
2. \(a^{12}-225s^2=(a^6+15s)(a^6-15s)\)
3. \(49s^2-225=(7s+15)(7s-15)\)
4. \(b^2+4b+4=(b+2)^2\)
5. \(64p^{8}-80p^4s+25s^2=(8p^4-5s)^2\)
6. \(121p^2+154p+49=(11p+7)^2\)
7. \(q^2+30q+225=(q+15)^2\)
8. \(9s^2+42s+49=(3s+7)^2\)
9. \(225q^2-4a^{4}=(15q-2a^2)(15q+2a^2)\)
10. \(s^{10}-36x^2=(s^5+6x)(s^5-6x)\)
11. \(1-4a^{16}=(1-2a^8)(1+2a^8)\)
12. \(81b^2-234b+169=(9b-13)^2\)