1) (14m^4c/n^6) × (n^5/35mc^6)= 14m^4c × n^5 / 35mc^6n^6= 14m^4n^5c / 35mnc^6n^6= 2m^3n^4 / 5c^5n^6= 2m^3/n^2c^5
2) 36x^3/y^2 ÷ (9x^6y)= 36x^3/ y^2 * 1/9x^6y= 4x^(3-6) / 9y^(1+2)= 4x^(-3) / 9y^3= 4 / 9x^3y^3
3) 8m + 8n/ a^3 × 5a^10/m^2-n^2= (8m + 8n) / a^3 5a^10 / (m^2-n^2)= 8m + 8n / a^3 5a^10 / (m+n)(m-n)= 8m + 8n / a^3 5a^10 / a^10 - n^2= 8m + 8n / a^3 5 / a^10 - n^2= 40m + 40n / a^3(a^10 - n^2)
4) (3x - 15)(x+4) / (x^2 - 25) / (3x + 12)= (3(x-5) * 1(x+4)) / ((x+5)(x-5)) / 3(x+4)= 3 / x+5 /3= 1/x+5
1) (14m^4c/n^6) × (n^5/35mc^6)
= 14m^4c × n^5 / 35mc^6n^6
= 14m^4n^5c / 35mnc^6n^6
= 2m^3n^4 / 5c^5n^6
= 2m^3/n^2c^5
2) 36x^3/y^2 ÷ (9x^6y)
= 36x^3/ y^2 * 1/9x^6y
= 4x^(3-6) / 9y^(1+2)
= 4x^(-3) / 9y^3
= 4 / 9x^3y^3
3) 8m + 8n/ a^3 × 5a^10/m^2-n^2
= (8m + 8n) / a^3 5a^10 / (m^2-n^2)
= 8m + 8n / a^3 5a^10 / (m+n)(m-n)
= 8m + 8n / a^3 5a^10 / a^10 - n^2
= 8m + 8n / a^3 5 / a^10 - n^2
= 40m + 40n / a^3(a^10 - n^2)
4) (3x - 15)(x+4) / (x^2 - 25) / (3x + 12)
= (3(x-5) * 1(x+4)) / ((x+5)(x-5)) / 3(x+4)
= 3 / x+5 /3
= 1/x+5