1) (×+10)(×-9)-(×-8)2=0 Expanding the left side, we get: (x^2 - 9x + 10x - 90) - (x^2 - 16x + 64) = 0 (x - 90) - (x^2 - 16x + 64) = 0 x - 90 - x^2 + 16x - 64 = 0 Combining like terms, we get: -x^2 + 16x - x - 90 - 64 = 0 -x^2 + 15x - 154 = 0
2) (3-y)(1-y^2)+3y^2=y^3 Expanding the left side and simplifying, we get: 3 - 3y - y^2 + 3y - 3y^2 + 3y^2 = y^3 3 - y^2 = y^3 Rearranging terms: y^3 + y^2 - 3 = 0
3) (z-6)(z+5)-(z-2)z=30 Expanding the left side and simplifying, we get: z^2 - 6z + 5z - 30 - z^2 + 2z = 30 -z + 2z - 30 = 30 z - 30 = 30 z = 60
4) 3a(a-3)+a(2-3a)=-100,59 Expanding and simplifying the left side, we get: 3a^2 - 9a + 2a - 3a^2 = -100,59 -a - 3a^2 = -100,59 Combining like terms, we get: -3a^2 - a + 100,59 = 0
1) (×+10)(×-9)-(×-8)2=0
Expanding the left side, we get:
(x^2 - 9x + 10x - 90) - (x^2 - 16x + 64) = 0
(x - 90) - (x^2 - 16x + 64) = 0
x - 90 - x^2 + 16x - 64 = 0
Combining like terms, we get:
-x^2 + 16x - x - 90 - 64 = 0
-x^2 + 15x - 154 = 0
2) (3-y)(1-y^2)+3y^2=y^3
Expanding the left side and simplifying, we get:
3 - 3y - y^2 + 3y - 3y^2 + 3y^2 = y^3
3 - y^2 = y^3
Rearranging terms:
y^3 + y^2 - 3 = 0
3) (z-6)(z+5)-(z-2)z=30
Expanding the left side and simplifying, we get:
z^2 - 6z + 5z - 30 - z^2 + 2z = 30
-z + 2z - 30 = 30
z - 30 = 30
z = 60
4) 3a(a-3)+a(2-3a)=-100,59
Expanding and simplifying the left side, we get:
3a^2 - 9a + 2a - 3a^2 = -100,59
-a - 3a^2 = -100,59
Combining like terms, we get:
-3a^2 - a + 100,59 = 0