Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36p^{6}-60p^3y+25y^2\)
2. \(b^2-100\)
3. \(256q^{16}-9x^2\)
4. \(64q^2+240q+225\)
5. \(100b^2-260b+169\)
6. \(a^2+14a+49\)
7. \(4b^{16}-49q^2\)
8. \(144b^2-264b+121\)
9. \(4x^{8}+12x^4+9\)
10. \(s^2-16s+64\)
11. \(4s^{10}+36s^5x+81x^2\)
12. \(x^2+12x+36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36p^{6}-60p^3y+25y^2=(6p^3-5y)^2\)
2. \(b^2-100=(b+10)(b-10)\)
3. \(256q^{16}-9x^2=(16q^8+3x)(16q^8-3x)\)
4. \(64q^2+240q+225=(8q+15)^2\)
5. \(100b^2-260b+169=(10b-13)^2\)
6. \(a^2+14a+49=(a+7)^2\)
7. \(4b^{16}-49q^2=(2b^8+7q)(2b^8-7q)\)
8. \(144b^2-264b+121=(12b-11)^2\)
9. \(4x^{8}+12x^4+9=(2x^4+3)^2\)
10. \(s^2-16s+64=(s-8)^2\)
11. \(4s^{10}+36s^5x+81x^2=(2s^5+9x)^2\)
12. \(x^2+12x+36=(x+6)^2\)