How do you divide #\frac { x ^ { 2} - 4} { 4x + 4} \div \frac { x - 2} { x + 1}#?
1 Answer
Aug 25, 2017
Explanation:
#"factorise where possible, change division to multiplication"#
#"and cancel any common factors"#
#rArr(x^2-4)/(4x+4)=((x-2)(x+2))/(4(x+1)#
#rArr(x^2-4)/(4x+4)-:(x-2)/(x+1)#
#=(cancel((x-2))(x+2))/(4cancel((x+1)))xxcancel((x+1))/cancel((x-2))#
#=(x+2)/4#
