Question

Упростите выражения.

Answer 1

a)   ..............$= frac{(2x+1)(1-2x)-1}{1-2x} : frac{2x(2x-1)-4 x^{2} }{2x-1}= frac{1-4 x^{2} }{-(2x-1)}* frac{2x-1}{4 x^{2} -2x-4 x^{2} }=frac{1-4 x^{2} }{2x}$

.б)................
=$(frac{pq}{(p-q)(p+q)}- frac{q}{p-q}): frac{(p-q)(p+q)+4q^{2} -p^{2} }{p+q} =\ \ frac{pq-q(p+q)}{(p-q)(p+q)} * frac{p+q}{p^{2} - q^{2}+4q^{2} - p^{2} } = frac{- q^{2} }{3 q^{2}(p-q) } =- frac{1}{3(p-q)} = frac{1}{3(q-p)}$