How do you simplify #\frac { x + 4} { x + 8} \div \frac { x ^ { 2} + 3x - 88} { x ^ { 2} - 64}#?

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Answer 1 · 2017-08-02T18:03:53

#=(x+4)/(x+11)#

Factorise each expression as far as possible.

#(x+4)/(x+8) div ((x+11)(x-8))/((x+8)(x-8))#

To divide, multiply by the reciprocal.

#=(x+4)/(x+8) xx ((x+8)(x-8))/((x+11)(x-8))#

Cancel like factors

#=(x+4)/cancel((x+8)) xx (cancel((x+8))cancel((x-8)))/((x+11)cancel((x-8)))#

#=(x+4)/(x+11)#