=(x^2+5x+4)(x^2+5x+6)-8
=(x^2+5x)^2+10(x^2+5x)+16
=(x^2+5x+2)(x^2+5x+8)
=(x^2+5x+4)(x^2+5x+6)-8
=(x^2+5x)^2+10(x^2+5x)+16
=(x^2+5x+2)(x^2+5x+8)
Phân tích đa thức thành nhân tử:
1.45+x^3-5*x^2-9*x
2.x^4-2*x^3-2*x^2-2*x+3
3.x^4-5*x^2+4
4.x^4+64
5.x^5+x^4+1
6.(x^2+2*x)*(x^2+2*x+4)+3
7.(x^3+4*x+8)^2+3*x*(x^2+4*x+8)+2*x^2
8. x^3*(x^2-7)^2-36*x
9.x^5+x+1
10. x^8+x^4+1
11. x^5-x^4-x^3-x^2-x-2
12. x^9-x^7-x^6-x^5+x^4+x^3+x^2-1
13. (x^2-x)^2-12*(x^2-x)+24
I) phan tich
1, 3x^2 - 11x+6
2, 8x^2 + 10x-3
3, 9x^2-9xy-xy
4, x^3+x+2
5, x^8y^8+x^4y^4 + 1
6, x^5+x^4+1
7, x^8+x^2+1
8, x^8+x+1
(x+1)(x-1)+(x+2)(x-2)+(x+3)(x-3)+(x+4)(x-4)+(x+5)(x-5)+(x+6)(x-6)+(x+7)(x-7)+(x+8)(x-8)=?
Phân tích đa thức thành nhân tử.
1)x^4+2x^3-4x-4
2)(x+2)(x+4)(x+6)(x+8)+16
3)(x^2+x).(x^2+x+1)-6
4)(x^2+4x+8)^2+3x(x^2+4x+8)
Tính các biểu thức
3 x (22 + 1) x (24 + 1) x (28 + 1) x...x (264 + 1) + 1
8 x (32 + 1) x (34 + 1) x (38 + 1) x...x (3128 + 1) + 1
12 x (52 + 1) x (54 + 1) x (58 + 1) x (516 + 1)
Tìm x
a) 4(x + 1)2 + (2x + 1)2 - 8(x – 1)(x + 1) - 11=0
b)(x + 3)2 – (x – 4)(x + 8) – 1 = 0
a,x+5/x-1+8/x^2-4x+3=x+1/x-3 b,x-4/x-1-x^2+3/1-x^2+5/x+1=0 c,3x/4-5=3-x/2+5x-1/6 d,(x-2)(x+2)-(x-3)(x+4)-2x+3=0 e,(x-1)^2+2(x+1)=5x+5 g,(x-3)(x+4)x=0
Tính A= 1/(x+1)(x+2) + 1/(x+2)(x+3) + 2/(x+3)(x+4) + 4/ (x+4)(x+5) + 8/ (x+5)(x+6)
Bài 4: Tìm x, biết:
a) 3(2x – 3) + 2(2 – x) = –3 ; b) x(5 – 2x) + 2x(x – 1) = 13 ;
c) 5x(x – 1) – (x + 2)(5x – 7) = 6 ; d) 3x(2x + 3) – (2x + 5)(3x – 2) = 8 ;
e) 2(5x – 8) – 3(4x – 5) = 4(3x – 4) + 11; f) 2x(6x – 2x 2 ) + 3x 2 (x – 4) = 8.
Rút gọn A = 1/(x+1)(x+2)+1/(x+2)(x+3)+2/(x+3)(x+4)+4/(x+4)(x+5)+8/(x+5)(x+6)