x(a+b) - a-b

=x(a+b) - (a+b)

=(x-1)(a+b)

hạng tử = thế tử = ??? ngữ văn lớp 3,4,5,6,7,8,9:10 người trả lời trước tui đồng ý kết bạn tui có 2 nik 1 nik là trên điện thoại nik tên là Đỗ Nhã Quyên nik thứ 2 là trên máy tính nik tên Trần Mạnh Phong như mọi người thấy đó mà tui là con gái nha!

\(x^3-x^2y+7x-7y=\left(x^3-x^2y\right)+\left(7x-7y\right)=x^2\left(x-y\right)+7\left(x-y\right)=\left(x-y\right)\left(x^2+7\right)\)

\(x^3-x^2y+7x-7y\)

\(=x^2\left(x-y\right)+7\left(x-y\right)\)

\(=\left(x-y\right)\cdot\left(x^2+7\right)\)

a) \(=x^2-2x-4x+8\)

\(=x\left(x-2\right)-4\left(x-2\right)\)

\(=\left(x-2\right)\left(x-4\right)\)

c) \(=x^3-x-6x-6\)

\(=x\left(x^2-1\right)-6\left(x+1\right)\)

\(=x\left(x+1\right)\left(x-1\right)-6\left(x+1\right)\)

\(=x\left(x+1\right)\left(x-1-6\right)\)

\(=x\left(x+1\right)\left(x-7\right)\)

a: \(x^3-2x+4\)

\(=x^3+2x^2-2x^2-4x+2x+4\)

\(=\left(x+2\right)\left(x^2-2x+2\right)\)

b: \(x^3-4x^2+12x-27\)

\(=\left(x-3\right)\left(x^2+3x+9\right)-4x\left(x-3\right)\)

\(=\left(x-3\right)\left(x^2-x+9\right)\)

c: \(x^3+2x^2+2x+1\)

\(=\left(x+1\right)\left(x^2-x+1\right)+2x\left(x+1\right)\)

\(=\left(x+1\right)\left(x^2+x+1\right)\)

Bài làm:

a) \(x^2-2xy+y^2-zx+yz\)

\(=\left(x-y\right)^2-z\left(x-y\right)\)

\(\left(x-y\right)\left(x-y-z\right)\)

a/ \(x^2-2xy+y^2-zx+yz.\)

\(=\left(x-y\right)^2-z\left(x-y\right)\)

\(=\left(x-y\right)\left(x-y-z\right)\)

c/ \(x^2-y^2-2x-2y.\)

\(=x^2-2x+1-y^2-2y-1\)

\(=\left(x^2-2x+1\right)-\left(y^2+2y+1\right)\)

\(=\left(x-1\right)^2-\left(y+1\right)^2\)

\(=\left(x-1+y+1\right)\left(x-1-y-1\right)\)

\(=\left(x+y\right)\left(x-y-2\right)\)

bài 1: a) \(x^2-3=x^2-\left(\sqrt{3}\right)^2=\left(x+\sqrt{3}\right)\left(x-\sqrt{3}\right)\)

b) \(\left(a+b\right)^2-\left(a+b\right)^2=\left(a+b+a+b\right)\left(a+b-a-b\right)=2a+2b=2\left(a+b\right)\)

c) \(x^3-27b^3=\left(x-3b\right)\left(x^2+3xb+b^2\right)\)

      \(a^3-a^2x-ay+xy\)

\(=a^2\left(a-x\right)-y\left(a-x\right)\)

\(=\left(a-x\right)\left(a^2-y\right)\)

       \(4x^2-y^2+4x+1\)

\(=\left(4x^2+4x+1\right)-y^2\)

\(=\left(2x+1\right)^2-y^2=\left(2x-y+1\right)\left(2x+y+1\right)\)

       \(x^3-x+y^3-y\)

\(=\left(x^3+y^3\right)-\left(x+y\right)\)

\(=\left(x+y\right)\left(x^2-xy+y^2\right)-\left(x+y\right)\)

\(=\left(x+y\right)\left(x^2-xy+y^2-1\right)\)

a)a³ - a²x - ay +xy

=(a³ - a²x) - (ay - xy)

=a²(a-x) - y(a-x)

=(a-x).(a² - y)

a) x^3 + x^2 - x - 1

=(x³+x²)+(-x-1)

=x².(x+1)-(x+1)

=(x+1)(x²-1)

=(x+1)(x-1)(x+1)

=(x+1)²(x-1)

b) a^3 + a^2.b - a^2.c - a.b.c

=(a³+a²b)+(-a²c-abc)

=a².(a+b)-ab.(a+b)

=(a+b)(a²-ab)

=a.(a+b)(a-b)