Question

Ришыть 10 формул сакрошёнава вырожения: 1)3(a-1)^2+8a 2)9c^2-4+6(c-2)^2 3)10ab-4(2a-b)^2+6b^2 4)5(3a+7)^2 5)(3a-1)(3a+1)-17a^2 6)5a(a-b)-3(a+2)(a-2) 7)8m(1++3)(4m-3) 8)(6x-1)(6x+1)-4x(9x+2) 9)9y^2-(1+2y)^2 10)(4-11m)^2-1

Answer 1

1. 3(a-1)²+8a = 3(a²-2a+1)+8a = 3a²-6a+3+8a = 3a²+2a+3
2.9c²-4+6(c-2)² = 9c²-4+6c²-12c+24 = 15c²-12c+20
3. 10ab-4(2a-b)²+6b² = 10ab-16a²+16ab-4b²+6b² = 2b²+26ab-16a² 
4. 5(9a²+42a+49) = 45a²+210a+245
5.  9a²-1-17a² = -6a²-1
6. 5a²-5ab-3(a²-4) = 5a²-5ab-3a²+12 = 2a²-5ab+12
7.8m+16m²-16m²+9 = 8m+9
8. 36x²-1-36x²-8x = -1-8x
9. 9y²-(1+4y+4y²) = 9y²-1-4y-4y² = 5y²-4y-1
10. 16-88m+121m²-1=121m²-88m+15

Answer 2

1) 3(а-1)²+8а=3(а²-2а+1)+8а=3а²-6а+3+8а=3а²+2а+3
2) 9с²-4+6(с-2)²=9с²-4+6(с²-4с+4)=9с²-4+6с²-24с+24=15с²-24с+20
3) 10аb-4(2a-b)²+6b²=10ab-4(4a²-4ab+b²)+6b²=10ab-16a²+16ab-4b²+6b²=-16a²+26ab+2b²
4) 5(3a+7)²=5(9a²+42a+49)=45a²+220a+245
5) (3a-1)(3a+1)-17a²=9a²-1-17a²=-8a²-1
6) 5a(a-b)-3(a+2)(a-2)=5a²-5ab-3(a²-4)=5a²-5ab-3a²+12=2a²-5ab+12
7) 8m(1+2m)-(4m+3)(4m-3)=8m+16m²-(16m²-9)=8m+16m²+16m²+9=32m²+8m+9
8) (6x-1)(6x+1)-4x(9x+2)=36x²-1-36x²-8x=8x-1
9) 9y²-(1+2y)²=9y²-(1+4y+4y²)=9y²-1-4y-4y²=5y²-4y-1
10) (4-11m)²-1=16-88m+121m²-1=121m²-88m+15