Question

Viết dưới dạng các tích của tổng

a) ab + ac

b) ab - ac + ad

c) ax - bx - cx + dx

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

e) ac - ad + bc - bd

f) ax + by + bx + ay

Answer 1

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)

Answer 2

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) \(ax+by+bx+ay=ax+bx+by+ay=x\left(a+b\right)+y\left(a+b\right)=\left(a+b\right)\left(x+y\right)\)