Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144q^{10}-264q^5s+121s^2\)
2. \(144p^{8}-121\)
3. \(196a^{8}-9y^2\)
4. \(x^2+20x+100\)
5. \(b^2-4\)
6. \(25p^{6}-36s^2\)
7. \(121y^{6}-44y^3+4\)
8. \(100s^2+140s+49\)
9. \(16-9y^{8}\)
10. \(25s^2-16b^{16}\)
11. \(25p^{8}+60p^4y+36y^2\)
12. \(y^2-64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144q^{10}-264q^5s+121s^2=(12q^5-11s)^2\)
2. \(144p^{8}-121=(12p^4+11)(12p^4-11)\)
3. \(196a^{8}-9y^2=(14a^4+3y)(14a^4-3y)\)
4. \(x^2+20x+100=(x+10)^2\)
5. \(b^2-4=(b-2)(b+2)\)
6. \(25p^{6}-36s^2=(5p^3+6s)(5p^3-6s)\)
7. \(121y^{6}-44y^3+4=(11y^3-2)^2\)
8. \(100s^2+140s+49=(10s+7)^2\)
9. \(16-9y^{8}=(4-3y^4)(4+3y^4)\)
10. \(25s^2-16b^{16}=(5s-4b^8)(5s+4b^8)\)
11. \(25p^{8}+60p^4y+36y^2=(5p^4+6y)^2\)
12. \(y^2-64=(y-8)(y+8)\)