How would you set this up? Express the following in its simplest form.
1 Answer
Jan 28, 2018
Explanation:
#"to eliminate fractions multiply numerator/denominator "#
#"by x"#
#rArr(x-1/x)/(1+1/x)xx x/x#
#=(x^2-1)/(x+1)#
#"factorise numerator and cancel common factors"#
#x^2-1" is a "color(blue)"difference of squares"#
#rArrx^2-1=(x-1)(x+1)#
#rArr(x^2-1)/(x+1)#
#=((x-1)cancel((x+1)))/cancel((x+1))#
#=x-1larr" in the form "Ax+B#
#"with "A=1" and "B=-1#
