Question

Viết dưới dạng tích các tổng sau:

1/ ab + ac

2/ ab - ac +ad

3/ ax - bx - cx +dx

4/ a(b+c) - d(b+c)

5/ ac - ad + bc- bd

6/ ax + by + bx + ay

Answer 1

1/ab+ac=a(b+c)

2/ab-ac+ad=a(b-c)+ad=a(b-c+d)

3/ax-bx-cx+dx=x(a-b-c)+xd=x(a-b-c+d)

4/a(b+c)-d(b+c)=(ab+ac)-(bd+cd)=b(a+d)-c(a+d)=a+d(b+c)

5/ac-ad+bc-bd=a(c-d)+b(c-d)=c-d(a+b)

6/ax+by+bx+ay=a(x+y)+b(x+y)=x+y(a+b)

Answer 2

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)(a-d)

5/ac-ad+bc-bd=a(c-d)+b(c-d)=(c-d)(a+b)

6/ax+by+bx+ay=a(x+y)+b(y+x)=(y+x)(a+b)

Answer 3

\(1,ab+ac\)

\(=a\left(b+c\right)\)

\(2,ab-ac+ad\)

\(=a\left(b-c+d\right)\)

\(3,ax-bx-cx+dx\)

\(=x\left(a-b-c+d\right)\)

\(4,a\left(b+c\right)-d\left(b+c\right)\)

\(=\left(b+c\right)\left(a-d\right)\)

\(5,ac-ad+bc-bd\)

\(=a\left(c-d\right)+b\left(c-d\right)\)

\(=\left(a+b\right)\left(c-d\right)\)

\(6,ax+by+bx+ay\)

\(=\left(ax+bx\right)+\left(by+ay\right)\)

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

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