Question

5x^2+34x-7
_________
25x^2-10x+1

Answer 1

$5x^2+34x-7 \ 5x^2+35x-x-7 \ 5x(x+7)-(x+7) \ (5x-1)(x+7)$

$25x^2-10x+1=(5x-1)^2$

$frac{5x^2+34x-7}{25x^2-10x+1}= frac{(5x-1)(x+7)}{(5x-1)^2}= frac{x+7}{5x-1}$