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\(3ax-2bx-6ay+4by=\) \(\left(3ax-6ay\right)-\left(2bx-4by\right)\)
\(=3a\left(x-2y\right)-2b\left(x-2y\right)\)
\(=\left(3a-2b\right)\left(x-2y\right)\)
\(ma-mb+na-nb-pa+pb=\) \(m\left(a-b\right)+n\left(a-b\right)-p\left(a-b\right)\)
\(=\left(m+n-p\right)\left(a-b\right)\)
c) 3ax - 2bx - 6ay + 4by
= 3a(x - 2y) - 2b(x - 2y)
= (3a - 2b)(x - 2y)
d) ma - mb + na - nb + pa - pb
= m(a - b) + n(a - b) + p(a - b)
= (m + n + p)(a - b)
Lời giải:
a. Không phân tích được nữa
b. $x^2(x-y)+4(y-x)=x^2(x-y)-4(x-y)=(x-y)(x^2-4)=(x-y)(x-2)(x+2)$
c. $x^3+2x^2y+xy^2-4x=x(x^2+2xy+y^2-4)$
$=x[(x^2+2xy+y^2)-4]=x[(x+y)^2-2^2]=x(x+y-2)(x+y+2)$
\(4x+by+4y+bx=\) \(\left(4x+4y\right)+\left(by+bx\right)\)
\(=\) \(4\left(x+y\right)+b\left(x+y\right)\)
\(=\left(4+b\right)\left(x+y\right)\)
\(2x^2+xy-2x-y=\) \(\left(2x^2+xy\right)-\left(2x+y\right)\)
\(=x\left(2x+y\right)-\left(2x+y\right)\)
\(=\left(x-1\right)\left(2x+y\right)\)
\(a.x^3-2x^2-2x-4\\ =\left(x^3-2x^2\right)-\left(2x-4\right)\\ =x^2\left(x-2\right)-2\left(x-2\right)\\ =\left(x^2-2\right)\left(x-2\right)\)
\(b.xy+1-x-y\\ =\left(xy-x\right)+\left(-y+1\right)\\ =x\left(y-1\right)-\left(y-1\right)\\ =\left(x-1\right)\left(y-1\right)\)
\(c.x^2-4xy+4y^2-4y\\ =\left(x-2y\right)^2-4y\\ =\left(x-2y\right)^2-\left(2y\right)^2\\ =\left(x-2y+2y\right)\left(x-2y-2y\right)\\ =x\left(x-4y\right)\)
\(d.16-x^2+2xy-y^2\\ =4^2-\left(x-y\right)^2\\ =\left(4-x+y\right)\left(4-x-y\right)\)
b: =xy-x-y+1
=x(y-1)-(y-1)
=(x-1)(y-1)
c: =(x-2y)^2-4y
\(=\left(x-2y-2\sqrt{y}\right)\left(x-2y+2\sqrt{y}\right)\)
d: =16-(x^2-2xy+y^2)
=16-(x-y)^2
=(4-x+y)(4+x-y)
a: \(=5a\left(x-2y\right)\)
b: \(=x\left(x-y\right)+\left(x-y\right)=\left(x-y\right)\left(x+1\right)\)
c: =(x-1)(x-7)
a)\(5ax-10ay=5a\left(x-2y\right)\)
b) \(x^2-xy+x-y=x\left(x-y\right)+\left(x-y\right)=\left(x+1\right)\left(x-y\right)\)
c) \(x^2-8x+7=\left(x-7\right)\left(x-1\right)\)
\(a,=4\left(x-5y\right)\\ b,=5x\left(x+y\right)-\left(x+y\right)=\left(5x-1\right)\left(x+y\right)\\ c,=\left(x-y\right)^2-z^2=\left(x-y-z\right)\left(x-y+z\right)\)
c: \(x^2-10x+21=\left(x-3\right)\left(x-7\right)\)
a: \(x^2y+xy^3-xy-y^3\)
\(=xy\left(x-1\right)+y^3\left(x-1\right)\)
\(=y\left(x-1\right)\left(x+y^2\right)\)
a, (4x+4y)+(by+bx)= 4(x+y)+b(x+y)=(x+y)(4+b)
b, ( 2x2+xy)-(2x+y)= x(2x+y)-(2x+y)=(2x+y)(x-1)
c, (3ax-2bx)-(6ay-4by)= x(3a-2b)-2y(3a-2b)=(3a-2b)(x-2y)
d, (ma+na-pa)-(mb+nb-pb)= a(m+n+p)-b(m+n-p)=(m+n+p)(a-b)
a) 4x+bx+by+4y b)2x2+xy-2x-y c)3ax-2bx-6ay+4by d)ma-mb+na-nb-pa+pb
=x(4+b)+y(b+4) =2x(x-1)+y(x-1) =3ax-6ay-2bx+4by =m(a-b)+n(a-b)-p(a-b)
=(x+y)(b+4) =(x-1)(2x+1) =3a(x-2y)-2b(x-2y)=(3a-2b)(x-2y) =(a-b)(m+n-p)