Question

Bài 1.Phân tích đa thức thành nhân tử

1, a.(m-n) + m - n

2, ma + mb - a - b

3, 4x + by + 4y + bx

4, 1 - ax - x + a

 

Answer 1

\(a.a\left(m-n\right)+m-n\)

\(=a\left(m-n\right)+\left(m-n\right)\)

\(=\left(a+1\right)\left(m-n\right)\)

\(b.ma+mb-a-b\)

\(=m\left(a+b\right)-\left(a+b\right)\)

\(=\left(m-1\right)\left(a+b\right)\)

\(c.4x+by+4y+bx\)

\(=\left(4x+4y\right)+\left(bx+by\right)\)

\(=4\left(x+y\right)+b\left(x+y\right)\)

\(=\left(b+4\right)\left(x+y\right)\)

\(d.1-ax-x+a\)

\(=\left(a-ax\right)+\left(1-x\right)\)

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

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

Answer 2

1.a(m-n)+m-n=am-an+m-n=(am+m)-(an+n)=m(a+1)-n(a+1)=(a+1)(m-n)

2.ma+mb-a-b=(ma-a)+(mb-b)=a(m-1)+b(m-1)=(m-1)(a+b)

3.4x+by+4y+bx=(4x+bx)+(4y+by)=x(4+b)+y(4+b)=(4+b)(x+y)

4.1-ax-x+a=(1+a)-(ax+x)=(1+a)-x(a+1)=(1+a)(1-x)