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 "to eliminate fractions multiply numerator/denominator
"by x"by x
rArr(x-1/x)/(1+1/x)xx x/x⇒x−1x1+1x×xx
=(x^2-1)/(x+1)=x2−1x+1
"factorise numerator and cancel common factors"factorise numerator and cancel common factors
x^2-1" is a "color(blue)"difference of squares"x2−1 is a difference of squares
rArrx^2-1=(x-1)(x+1)⇒x2−1=(x−1)(x+1)
rArr(x^2-1)/(x+1)⇒x2−1x+1
=((x-1)cancel((x+1)))/cancel((x+1))
=x-1larr" in the form "Ax+B
"with "A=1" and "B=-1