Simplify: 2(ā+š)^5/ 3(āš+ā)^3 x 3(āāš)^6/ 14(g+h)^4
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
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 ā Ā±g
oops - lost that factor of 2
To simplify the given expression:
Step 1: Distribute the exponents and simplify the numerator:
(2/3) * [(h+g)^5 * (h-g)^6]
Step 2: Combine like terms in each factor:
(2/3) * [(h^(5+6)) * (g^(0+6))]
Step 3: Simplify the exponents:
(2/3) * [(h^11) * (g^6)]
Step 4: Simplify the denominator:
14 * (g+h)^4
Step 5: Combine the numerator and denominator:
(2/3) * [(h^11) * (g^6)] / [14 * (g+h)^4]
And there you have the simplified expression.