1) (3mn + 5nm) / (m*n)= 8mn / mn= 8
2) (4xy - 3x) / (xy)= (4xy - 3x) / (xy)= (4 - 3/y)
3) (6p3x^2y + 4k20xy - 3m*5xy) / (15x^2y)= (18px^2y + 80kxy - 15mxy) / (15x^2y)= (18p + 80k - 15m) / 15x
4) ((x+5)(x+5) - (x-1)(x-5)) / ((x-5)*(x+5))= (x^2 + 10x + 25 - (x^2 - 5x - x + 5)) / (x^2 - 25)= (x^2 + 10x + 25 - x^2 + 6x - 5) / (x^2 - 25)= (16x + 20) / (x^2 - 25)= 4(4x + 5) / (x - 5)(x + 5)
1) (3mn + 5nm) / (m*n)
= 8mn / mn
= 8
2) (4xy - 3x) / (xy)
= (4xy - 3x) / (xy)
= (4 - 3/y)
3) (6p3x^2y + 4k20xy - 3m*5xy) / (15x^2y)
= (18px^2y + 80kxy - 15mxy) / (15x^2y)
= (18p + 80k - 15m) / 15x
4) ((x+5)(x+5) - (x-1)(x-5)) / ((x-5)*(x+5))
= (x^2 + 10x + 25 - (x^2 - 5x - x + 5)) / (x^2 - 25)
= (x^2 + 10x + 25 - x^2 + 6x - 5) / (x^2 - 25)
= (16x + 20) / (x^2 - 25)
= 4(4x + 5) / (x - 5)(x + 5)