Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256q^2+160q+25\)
2. \(4b^{10}-121\)
3. \(x^2-144\)
4. \(9b^{8}-66b^4s+121s^2\)
5. \(81x^2+90x+25\)
6. \(144y^{4}-121\)
7. \(y^2+6y+9\)
8. \(b^2-16b+64\)
9. \(49p^{8}+112p^4+64\)
10. \(9p^{8}-84p^4x+196x^2\)
11. \(x^2-144\)
12. \(144x^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256q^2+160q+25=(16q+5)^2\)
2. \(4b^{10}-121=(2b^5+11)(2b^5-11)\)
3. \(x^2-144=(x+12)(x-12)\)
4. \(9b^{8}-66b^4s+121s^2=(3b^4-11s)^2\)
5. \(81x^2+90x+25=(9x+5)^2\)
6. \(144y^{4}-121=(12y^2+11)(12y^2-11)\)
7. \(y^2+6y+9=(y+3)^2\)
8. \(b^2-16b+64=(b-8)^2\)
9. \(49p^{8}+112p^4+64=(7p^4+8)^2\)
10. \(9p^{8}-84p^4x+196x^2=(3p^4-14x)^2\)
11. \(x^2-144=(x-12)(x+12)\)
12. \(144x^2-121=(12x+11)(12x-11)\)