Question

Упростить выражение.

Answer 1

2) $(\frac{8x}{x-2}+2x)*\frac{7(x-2)}{4(x+2)}  = (\frac{8x+2x(x-2)}{x-2})*\frac{7(x-2)}{4(x+2)}=\frac{2x^2+4x}{x-2}*\frac{7(x-2)}{4(x+2)}=\\     =\frac{2x(x+2)}{x-2}*\frac{7(x-2)}{4(x+2)}=\frac{7x}{2}$

3) $\frac{5a}{a+3}+\frac{a-6}{3(a+3)}*\frac{135}{a(6-a)} =\frac{5a}{a+3}-\frac{135}{3a(a+3)}=\frac{15a^2-135}{3a(a+3)}=\frac{5a^2-45}{a(a+3)}=5\frac{a^2-9}{a(a+3)}=\\      5\frac{(a-3)(a+3)}{a(a+3)}=5\frac{a-3}{a}$