Question

Calcule:$A) \frac{3(x-2) ^{2} }{6(x-2) ^{4} } \\ \\B) \frac{ x^{2} -49}{x-7} \\ \\ C) \frac{4- x^{2} }{6+3x} \\ \\ D) \frac{2x-6}{ x^{2} -6x+9} \\ \\ E) \frac{4 x^{2} -4x+1}{4 x^{2} -1} \\ \\ F) \frac{PQ R^{3} }{ P^{2} Q^{3} R^{5} }$

Answer 1

$A)\frac{3(x-2)(x-2)}{6(x-2)(x-2)(x-2)^{2} } = \frac{1}{2(x-2) ^{2} } ; B) \frac{(x+7)(x-7)}{x-7} =x+7; C) \frac{(2 +x)(2-x)}{3(2+x)} = \frac{2 -x}{3}$; $D)\frac{2(x-3 )}{(x-3)(x-3)} = \frac{2}{x-3} } ; E) \frac{(2x-1)(2x-1)}{(2x-1)(2x+1) } = \frac{2x-1}{2x+1} ; F) \frac{1}{P Q^{2} R ^{2} }$