Question

Simplify: 2(ℎ+𝑔)^5/ 3(−𝑔+ℎ)^3 x 3(ℎ−𝑔)^6/ 14(g+h)^4

Answer 1

2(h+g)^5 / 3(h-g)^3 * 3(h-g)^6 / 14(h+g)^4

2(h+g)^5 / 14(h+g)^4 * 3(h-g)^6 / 3(h-g)^3

(h+g)/7 * (h-g)^3

massage it more if you want

Answer 2

2(h+g)^5 / (3(-g + h)^3) * 3(h - g)^6 / (14(g+h)^4 )
= 2(h+g)^5 * 3(h-g)^6 / [3(h-g)^3 * 14(g+h)^4 ]
= 6(h + g)(h - g)^3 / 42
= (2/7)(h + g)(h - g)^3 , h ≠ ±g

Answer 3

oops - lost that factor of 2