Реши 57,61,62

57.

а) \(\dfrac{16-x^2}{x-4}=-x-4,\quad x\ne4\).

б) \(\dfrac{25-a^2}{a+5}=5-a,\quad a\ne-5\).

в) \(\dfrac{3(a-b)}{(a-b)(a+b)}=\dfrac3{a+b},\quad a\ne\pm b\).

г) \(\dfrac{x+8}{(x-8)(x+8)}=\dfrac1{x-8},\quad x\ne\pm8\).

д) \(\dfrac{2a+b-2b+5a}{(a-b)^2}=\dfrac{7a-b}{(a-b)^2},\quad a\ne b\).

е) \(\dfrac{2(x+y)}{(x+y)^2}=\dfrac2{x+y},\quad x\ne-y\).

61.

а) \(\dfrac{x}{y-1}-\dfrac5{y-1}=\dfrac{x-5}{y-1},\quad y\ne1\).

б) \(\dfrac{a}{c-3}+\dfrac6{c-3}=\dfrac{a+6}{c-3},\quad c\ne3\).

в) \(\dfrac{2m-2n}{m-n}=2,\quad m\ne n\).

г) \(\dfrac{5p-10q}{2q-p}=-5,\quad p\ne2q\).

д) \(\dfrac{a^2-8a+16}{a-4}=a-4,\quad a\ne4\).

е) \(\dfrac{(x-3y)^2}{x-3y}=x-3y,\quad x\ne3y\).

62.

а) \(\dfrac{10p-3p}{p-q}=\dfrac{7p}{p-q},\quad p\ne q\).

б) \(\dfrac{5a-5b}{a-b}=5,\quad a\ne b\).

в) \(\dfrac{x-3+2}{x-1}=1,\quad x\ne1\).

г) \(\dfrac{a-(3a-b)}{2a-b}=-1,\quad 2a\ne b\).

д) \(\dfrac{a-3}{(a-3)(a+3)}=\dfrac1{a+3},\quad a\ne\pm3\).

е) \(\dfrac{y^2-1}{y-1}=y+1,\quad y\ne1\).