Bài 2:
1, phân tích
a, 4x^2y^4 + 16x^4y^2
b, 5a^2b – 2a + 10ab^2 – 4b
2, tìm x
a, 3(x – 1) + 2(x + 5) = 0
b, x^2 + 4x – 5 = 0
c, (5x – 1)^2 – (4x + 7)^2 = 0
Bài 2:
1, phân tích
a, 4x^2y^4 + 16x^4y^2
b, 5a^2b – 2a + 10ab^2 – 4b
2, tìm x
a, 3(x – 1) + 2(x + 5) = 0
b, x^2 + 4x – 5 = 0
c, (5x – 1)^2 – (4x + 7)^2 = 0
Giải thích các bước giải:
1)
a) (4x^2 y^4)+ 16x^4 y^2
= 4x^2 y^2 ( y^2 + 4x^2)
b) 5a^2b – 2a +10ab^2 -4b
= (5a^2b +10ab^2 ) – (2a+4b)
= 5ab ( a+2b) -2 (a+2b)
=(5ab-2)(a+2b)
2)
a) 3(x-1)+2(x-5)=0
3x-3+2x-10=0
5x = 13
x=13:5
x=13/5
b) x^2+4x-5=0
x^2 -x + 5x -5 =0
(x^2-x)+(5x-5)=0
x(x-1)+5(x-1)=0
(x+5)(x-1)=0
TH1 : x+5=0 TH2 : x-1=0
x=0-5 x=0+1
x=-5 x=1
c)(5x-1)^2 – (4x+7)^2 =0
(5x-1-4x-7)(5x-1+4x+7)=0
(x-8)(9x+6)=0
TH1 : x-8=0
x=0+8
x=8
TH2: 9x+6=0
9x=0-6
9x=-6
x=-6:9
x=-2/3