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a, x2+2x+1+x+1
=(x2+2x+2)+x
=(x2+2x+12)+x
=(x+1)2+x
=(2x+1)2
=(2x-1).(2x+1 )
c,xy-y-2x-2
=(xy-2x)-(y-2)
=x.(y-2)-(y-2)
=(y-2).x
e,xy+xz+y2+yz
=(xy+y2)+(xz+yz)
=y.(x+y)+z.(x+y)
=(x+y).(y+z)
d,x3+x2+x+1
=(x3+x2)+(x+1)
=x2.(x+1)+(x+1)
=x2.(x+1)
b,y2+xy+x+2y+1
=(y2+2y)+(xy+x+1)
=y.(y+2) + x.(y+2)
=(y+2).(y+x)
b,\(^{x^6-x^4+4x^3+2x^2}\)
\(x^6+4x^3+4-x^4+2x^2-4\)
\(\left(x^3+2\right)^2-\left(x^2-2\right)^2\)
\(\left(x^3-x^2+4\right)\cdot\left(x^3+x^2\right)\)
c \(a^2\cdot\left(x+y\right)+b^2\cdot\left(x+y\right)-2ab\cdot\left(x+y\right)\)
\(\left(x+y\right)\cdot\left(a^2+b^2-2ab\right)\)
\(\left(x+y\right)\cdot\left(a-b\right)^2\)
xin lỗi vì ko có thời gian nên phần d bn tự làm nha
a) -y2 + 2xy - x2 + 3x - 3y
= (3x - 3y) - (x2 - 2xy + y2)
= 3(x - y) - (x - y)2
= (x - y)(3 - x + y)
b) x3 - 2x2 - x + 2
= (x3 - x) - (2x2 - 2)
= x(x2 - 1) - 2(x2 - 1)
= (x2 - 1)(x - 2)
= (x - 2)(x - 1)(x + 1)
c) x2(x + 1) - 2x(x + 1) + x + 1
= (x + 1)(x2 - 2x + 1)
= (x + 1)(x - 1)2
d) a2 + b2 + 2a - 2b - 2ab
= (a2 - 2ab + b2) + (2a - 2b)
= (a - b)2 + 2(a - b)
= (a - b)(a - b + 2)
e) 4x2 - 8x + 3
= (4x2 - 2x) - (6x - 3)
= 2x(2x - 1) - 3(2x - 1)
= (2x - 1)(2x - 3)
f) 25 - 16x2
= 52 - (4x)2
= (5 - 4x)(5 + 4x)
a, -y2 + 2xy - x2 + 3x - 3y
= - (x2 - 2xy + y2) + 3(x - y)
= - (x - y)2 + 3(x - y)
= (x - y) (3 - x + y)
b, x3 - 2x2 - x + 2
= x2 (x - 2) - (x - 2)
= (x - 2)(x2 - 1)
= (x - 2)(x - 1)(x + 1)
c, x2 (x + 1) - 2x(x + 1) + x + 1
= x2 (x + 1) - 2x(x + 1) + (x + 1)
= (x + 1)(x2 - 2x + 1)
= (x + 1)(x - 1)2
d, a2 + b2 + 2a - 2b - 2ab
= (a2 - 2ab + b2 )+ (2a - 2b)
= (a - b)2 + 2(a - b)
= (a - b)( a - b + 2)
e, 4x2 - 8x + 3
= 4x2 - 2x - 6x + 3
= 2x( 2x - 1) - 3(2x - 1)
= (2x - 1)(2x - 3)
f, 25 - 16x2
= 52 - (4x)2
= (5 - 4x)(5 + 4x)
Chúc bạn học tốt!
Câu a trước đi ạ ^^
a) 7x - 6x2 - 2
= - 6x2 + 7x - 2
= (- 6x2 + 3x) + (4x - 2)
= 3x (- 2x + 1) + 2 (2x-1)
= - 3x ( 2x -1) + 2 (2x - 1)
= ( 2x -1 ) ( - 3x +2 )
tik cho mk nha
2x2 - 7x +5= 2x2-2x-5x+5=(2x2-2x)-(5x-5)=2x(x-1)-5(x-1)
= (x-1)(2x-5)
ok
a) x^2 - 5x = x .(x-5)
b) x^2 (x+1)-x-1 = x^2(x+1) - (x+1)
= (x+1) . (x^2 - 1)
c) (x-1)^3- 3x(2-x) = x^3 - 3x^2 + 3x + 1 + 3x^2 - 6x
= x^3 - 3x + 1
= x(x^2 - 3 ) + 1
d) 2ab - b^2 = b(2a - b)
e) 9x^2 + 6xy + y = 9x^2 + 6xy + y^2 - y^2 +y
= (3x + y)^2 +y(y - 1)