Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25a^2-40a+16\)
2. \(9y^2-100\)
3. \(121a^{10}+330a^5b+225b^2\)
4. \(-16x^2+9\)
5. \(a^2-24a+144\)
6. \(p^2+10p+25\)
7. \(x^2+18x+81\)
8. \(a^{14}-64b^2\)
9. \(256p^{10}-160p^5+25\)
10. \(100a^2-260a+169\)
11. \(25y^2-70y+49\)
12. \(-64a^2+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25a^2-40a+16=(5a-4)^2\)
2. \(9y^2-100=(3y+10)(3y-10)\)
3. \(121a^{10}+330a^5b+225b^2=(11a^5+15b)^2\)
4. \(-16x^2+9=(3-4x)(3+4x)\)
5. \(a^2-24a+144=(a-12)^2\)
6. \(p^2+10p+25=(p+5)^2\)
7. \(x^2+18x+81=(x+9)^2\)
8. \(a^{14}-64b^2=(a^7+8b)(a^7-8b)\)
9. \(256p^{10}-160p^5+25=(16p^5-5)^2\)
10. \(100a^2-260a+169=(10a-13)^2\)
11. \(25y^2-70y+49=(5y-7)^2\)
12. \(-64a^2+169=(13-8a)(13+8a)\)