Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121s^2+88s+16\)
2. \(16s^{10}-120s^5x+225x^2\)
3. \(q^2-16q+64\)
4. \(a^2-30a+225\)
5. \(25b^{4}+60b^2s+36s^2\)
6. \(16b^{12}-121q^2\)
7. \(225y^{16}-4\)
8. \(1-81y^{10}\)
9. \(81p^{10}-234p^5x+169x^2\)
10. \(s^2-121\)
11. \(256x^2+416x+169\)
12. \(196p^{6}+28p^3s+1s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121s^2+88s+16=(11s+4)^2\)
2. \(16s^{10}-120s^5x+225x^2=(4s^5-15x)^2\)
3. \(q^2-16q+64=(q-8)^2\)
4. \(a^2-30a+225=(a-15)^2\)
5. \(25b^{4}+60b^2s+36s^2=(5b^2+6s)^2\)
6. \(16b^{12}-121q^2=(4b^6+11q)(4b^6-11q)\)
7. \(225y^{16}-4=(15y^8+2)(15y^8-2)\)
8. \(1-81y^{10}=(1-9y^5)(1+9y^5)\)
9. \(81p^{10}-234p^5x+169x^2=(9p^5-13x)^2\)
10. \(s^2-121=(s+11)(s-11)\)
11. \(256x^2+416x+169=(16x+13)^2\)
12. \(196p^{6}+28p^3s+1s^2=(14p^3+s)^2\)