How do you divide #\frac { x ^ { 2} - 36} { 12x } \div \frac { 6- x } { 6x v }#?
1 Answer
Jun 30, 2017
Explanation:
#"note for division of fractions"#
#• a/b-:c/d=a/bxxd/c#
#"factorise the numerator " x^2-36#
#rArr((x-6)(x+6))/(12x)xx(6xv)/(6-x)#
#"take out a common factor of - 1 from " 6-x=-(x-6)#
#"cancelling common factors gives"#
#(cancel((x-6))(x+6))/cancel(12x)^2xx(cancel(6x)^1v)/-cancel((x-6))#
#=-(v(x+6))/2#
