Question

Разложите многочлен на множители 1. x²-196 = 2. 4-36a²= 3. 49x²- 121a²= 4. a³+8= 5. 64a³+1= 6. m³n³ - 27= 7. 4y²-12y+9 = 8. P²-10pq+25q²= 9. 4m²- 28mn+49n²= 10.5a²+10ab+5b²

Answer 1

1) х^2-196=(х-14)(х+14)
2)4-36а^2=4(1-3а)(1+3a)
3)49x^2-121a^2=(7x-11a)(7x+11a)
4)a^3+8=(a+2)(a^2-2a+4)
5)64a^3+1=(4a+1)(16a^2-4a+1)
6)m^3n^3-27=(mn-3)(m^2 n^2+3mn+9)
7)4y^2-12y+9= (2y-3)^2
8)p^2-10pq+25q^2=(p-5q)^2
9)4m^2-28mn+49n^2=(2m-7n)^2
10)5a^2+10ab+5b^2=5(a+b)^2

[ “^2” и ‘’^3’’- степени ]

Answer 2

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