Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-36\)
2. \(q^2-16\)
3. \(p^2+10p+25\)
4. \(-100y^2+169\)
5. \(144a^{10}+24a^5y+1y^2\)
6. \(b^2+26b+169\)
7. \(256s^2-160s+25\)
8. \(q^2-16\)
9. \(196y^2-364y+169\)
10. \(25-144b^{8}\)
11. \(16a^2-169\)
12. \(36q^2-60q+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-36=(x+6)(x-6)\)
2. \(q^2-16=(q-4)(q+4)\)
3. \(p^2+10p+25=(p+5)^2\)
4. \(-100y^2+169=(13-10y)(13+10y)\)
5. \(144a^{10}+24a^5y+1y^2=(12a^5+y)^2\)
6. \(b^2+26b+169=(b+13)^2\)
7. \(256s^2-160s+25=(16s-5)^2\)
8. \(q^2-16=(q+4)(q-4)\)
9. \(196y^2-364y+169=(14y-13)^2\)
10. \(25-144b^{8}=(5-12b^4)(5+12b^4)\)
11. \(16a^2-169=(4a+13)(4a-13)\)
12. \(36q^2-60q+25=(6q-5)^2\)