Вправа 201 - 300 » 241

241. Спростіть вираз. a) (x^2- 9y^2)/(a^2+8ab+ 〖16b〗^2 ) • (a^2-〖16b〗^2 )/(3y- x) = ((x-3y)(x+3y)•(a-4b)(a+4b))/((a+4b)^2 (3y- x)) = (-(x+3y)(a-4b))/((a+4b)) = ((x+3y)(4b- a))/((a+4b(); б) (x^2+6x+9)/(2x-4) • (x^2-4)/(3x+9) = (〖(x+3)〗^2•(x-2)(x+2))/(2(x-2)•3(x+3)) = ((x+3)(x+2))/6; в) (2x-6)/(x^2+2xy+y^2 ) • (x^2- y^2)/(x^2-3x) = (2(x-3))/〖(x+ y)〗^2 • ((x- y)(x+ y))/(x(x-3)) = (2(x- y))/(x(x+ y)); г) (x^2-10x+25)/(6x+3y) • (2xy+y^2 )/(25- x^2 ) = (〖(x-5)〗^2• y(2x+ y))/(3(2x+ y)•(5- x)(5+ )) = ((5- x)y)/(3(5+ x)).