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Bài làm
Biến đổi vế trái, ta có:
VT= -ax( c - d ) - dx ( a + c )
= -acx + adx - adx - dcx
= -acx - dcx
= -cx( a + d ) = VP
Vậy -ax( c - d ) - dx( a + c ) = -cx( a + d ) ( đpcm )

a) \(ab+ac=a.\left(b+c\right)\)
b) \(ab-ac+ad=a.\left(b-c+d\right)\)
c) \(ax-bx-cx-dx=x.\left(a-b-c-d\right)\)
d) \(a.\left(b+c\right)-d.\left(b+c\right)=ab+ac-db-dc=b.\left(a-d\right)+c.\left(a-d\right)=\left(a-d\right).\left(b+c\right)\)
e) \(ac-ad+bc-bd=a.\left(c-d\right)+b.\left(c-d\right)=\left(c-d\right).\left(a+b\right)\)
f) \(ax+by+bx+ay=a.\left(x+y\right)+b.\left(y+x\right)=\left(x+y\right).\left(a+b\right)\)
CHÚC BN HỌC TỐT!!!!!

a) ab+ac=a(b+c)
b) ab-ac+ad=a(b-c+d)
c) ax-bx-cx+dx = x(a-b-c+d)
d) a(b+c)-d(b+c)= (b+c)(a-d)
e) ac-ad+bc-bd = a(c-d)+b(c-d)= (c-d)(a+b)
g) ax+by+bx+ay= x(a+b)+y(a+b)=(x+y)(a+b)
a,a.(b+c)
b,a.(b-c+d)
c,x.(a-b-c+d)
d,(a-d).(b+c)
...............

a) ax(b+c)
b) ax(b-c+d)
c) X x(a-b-c+d)
e, f tương tự
k mình nha bạn

a,ab+ac=a(b+c)
b,ab-ac+ad=a(b-c+d)
c,ax-bx-cx+dx=(a-b-c+d)x
d,a(b+c)-d(b+c)
=ab+ac-bd+cd
=b(a-d)+(a+d)c
e,ac-ad+bc-bd
=c(a+b)-(a-b)d
f,ax+by+bx+ay
=a(x+y)+b(y+x)
a) \(ab+ac=a\left(b+c\right)\)
b) \(ab-ac+ad=a\left(b-c+d\right)\)
c) \(ax-bx-cx+dx=x\left(a-b-c+d\right)\)
d) \(a\left(b+c\right)-d\left(b+c\right)=\left(b+c\right)\left(a-d\right)\)
e) \(ac-ad+bc-bd=a\left(c-d\right)+b\left(c-d\right)=\left(c-d\right)\left(a+b\right)\)
f) \(ax+by+bx+ay=ax+bx+by+ay=x\left(a+b\right)+y\left(a+b\right)=\left(a+b\right)\left(x+y\right)\)

1.ab + ac
= a. ( b + c )
2.ab - ac + ad
= a.( b - c + d )
3. ax - bx - cx + dx
= x.( a - b - c + d )
4, a( b + c ) - d( b + c )
= ( b + c ) x a - d
k mk nha bn iu

ab + ac = a(b + c)
ab - ac + ad = a(b - c + d)
ax - bx - cx + dx
=x(a - b - c + d)
\(-ax\left(c-d\right)-dx\left(a+c\right)=-cx\left(a+d\right)\)
\(-x\left[a\left(c-d\right)+d\left(a+c\right)\right]=-xc\left(a+d\right)\)
\(a\left(c-d\right)+d\left(a+c\right)=c\left(a+d\right)\)
\(ac-ad+ad+cd=ac+cd\)
\(ac+cd=ac+cd\left(đpcm\right)\)