How do you simplify #\frac { 36y^ { 6} x ^ { 7} + 12y ^ { 7} x ^ { 6} } { 6x ^ { 5} y ^ { 3} }#?
1 Answer
Oct 25, 2017
Explanation:
#"factorising the numerator"#
#rArr12x^6y^6(3x+y)#
#rArr(36y^6x^7+12y^7x^6)/(6x^5y^3)#
#=(12x^6y^6(3x+y))/(6x^5y^3)#
#=(cancel(12)^2x^((6-5))y^((6-3))(3x+y))/(cancel(6)^1)#
#=2xy^3(3x+y)#
#=6x^2y^3+2xy^4#
