Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-49b^2+16\)
2. \(121s^{10}+330s^5+225\)
3. \(100x^2-1\)
4. \(-100y^2+49\)
5. \(64x^{4}+16x^2+1\)
6. \(9a^{14}-169\)
7. \(81y^2-198y+121\)
8. \(25b^{8}-40b^4+16\)
9. \(49a^{6}-16s^2\)
10. \(25y^{10}-70y^5+49\)
11. \(81y^2-64p^{16}\)
12. \(s^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-49b^2+16=(4-7b)(4+7b)\)
2. \(121s^{10}+330s^5+225=(11s^5+15)^2\)
3. \(100x^2-1=(10x+1)(10x-1)\)
4. \(-100y^2+49=(7-10y)(7+10y)\)
5. \(64x^{4}+16x^2+1=(8x^2+1)^2\)
6. \(9a^{14}-169=(3a^7+13)(3a^7-13)\)
7. \(81y^2-198y+121=(9y-11)^2\)
8. \(25b^{8}-40b^4+16=(5b^4-4)^2\)
9. \(49a^{6}-16s^2=(7a^3+4s)(7a^3-4s)\)
10. \(25y^{10}-70y^5+49=(5y^5-7)^2\)
11. \(81y^2-64p^{16}=(9y-8p^8)(9y+8p^8)\)
12. \(s^2-169=(s+13)(s-13)\)