Question

Разложите на множители многочлен:

1/ 7x-7y+bx-by=

2/ pq-x-px+q=

3/ 2cx-cy-6x+3y=

4/ 56pq-1-7q+8p=

Answer 1

1) $7x-7y+bx-by=(7x-7y)+(bx-by)=7(x-y)+b(x-y)=(x-y)(7+b)$

==========================================================

2) $pq-x-px+q=(pq+q)+(-px-x)=(pq+q)-(px+x)=q(p+1)-x(p+1)=(p+1)(q-x)$

==========================================================

3) $2cx-cy-6x+3y=(2cx-cy)+(-6x+3y)=(2cx-cy)-(6x-3y)=c(2x-y)-3(2x-y)=(2x-y)(c-3)$

==========================================================

4) $56pq-1-7q+8p=(56pq+8p)+(-7q-1)=(56pq+8p)-(7q+1)=8p(7q+1)-1(7q+1)=(7q+1)(8p-1)$