Question

Answer 1

b: \(B=\dfrac{x^2-8x+16-x^2-8x-16}{\left(x-4\right)^2\cdot\left(x+4\right)^2}:\dfrac{x-4+x+4}{\left(x+4\right)\left(x-4\right)}\)

\(=\dfrac{-16x}{\left(x-4\right)\left(x+4\right)}\cdot\dfrac{1}{2x}=\dfrac{-8x}{\left(x-4\right)\left(x+4\right)}\)

a: \(A=\dfrac{x^2+4xy+4y^2+2x^2-8y^2+x^2-4xy+4y^2}{\left(x-2y\right)^2\cdot\left(x+2y\right)^2}\cdot\dfrac{\left(x+2y\right)^2}{16x}\)

\(=\dfrac{4x^2}{\left(x-2y\right)^2}\cdot\dfrac{1}{16x}=\dfrac{x}{4\left(x-2y\right)}\)