Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2+14p+49\)
2. \(144s^{4}-168s^2x+49x^2\)
3. \(x^2-28x+196\)
4. \(4a^{12}-81\)
5. \(169b^{10}-312b^5+144\)
6. \(9p^{10}-48p^5q+64q^2\)
7. \(y^2-36\)
8. \(x^2-49\)
9. \(1-36s^{6}\)
10. \(x^2-225\)
11. \(169b^{10}+156b^5y+36y^2\)
12. \(b^2+16b+64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2+14p+49=(p+7)^2\)
2. \(144s^{4}-168s^2x+49x^2=(12s^2-7x)^2\)
3. \(x^2-28x+196=(x-14)^2\)
4. \(4a^{12}-81=(2a^6+9)(2a^6-9)\)
5. \(169b^{10}-312b^5+144=(13b^5-12)^2\)
6. \(9p^{10}-48p^5q+64q^2=(3p^5-8q)^2\)
7. \(y^2-36=(y+6)(y-6)\)
8. \(x^2-49=(x-7)(x+7)\)
9. \(1-36s^{6}=(1-6s^3)(1+6s^3)\)
10. \(x^2-225=(x+15)(x-15)\)
11. \(169b^{10}+156b^5y+36y^2=(13b^5+6y)^2\)
12. \(b^2+16b+64=(b+8)^2\)