Question

Упростите выражение
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Answer 1

Ответ:

Объяснение:

(25x²-16)(1/(5x+4) +1/(5x-4))=(5x-4)(5x+4)(5x-4+5x+4)/((5x+4)(5x-4))=10x

((3a)/(a-2) -(6a)/(a²-4a+4)) ÷(a-4)/(a²-4)=((3a)/(a-2) -(6a)/(a-2)²)((a-2)(a+2))/(a-4)=(3a(a-2)-6a)/(a-2)² ·((a-2)(a+2))/(a-4)=(3a²-6a-6a)/(a-2) ·(a+2)/(a-4)=(3a(a-4))/(a-2) ·(a+2)/(a-4)=(3a(a+2))/(a-2)

((x+y)/(x²-xy) -(2y)/(x²-y²))(x²y²-x⁴)/(x²+y²)=((x+y)/(x(x-y)) -(2y)/((x-y)(x+y)))·(-x²(x-y)(x+y))/(x²+y²)=((x+y)²-2xy)/(x(x-y)(x+y)) ·(-x²(x-y)(x+y))/(x²+y²)=(x²+2xy+y²-2xy)(-x)/(x²+y²)=(-x(x²+y²))/(x²+y²)=-x