Question

Evaluate. x^2+11x+30/x^2+12x+36 / x^2+8x+15/x^2+3x-18

Answer 1

well dividing by a fraction invert and multiply

so the problem is

\[\frac{x^2 + 11x + 30}{x^2 + 12x + 36} \times \frac{x^2 + 8x + 15}{x^2 + 3x - 18}\]

now factorise the quadratics and eliminate common factors

\[\frac{(x+5)(x+6)}{(x+6)^2} \times \frac{(x + 5)(x+3)}{(x+6)(x-3)}\]

so (x+6) and (x-3) are common factors leaving

\[\frac{(x+5)^2}{(x+6)^2} =\frac{x^2 + 10x + 25}{x^2 + 12x+36}\]

Answer 2

thatt is a division sign

Answer 3

where... between the fractions...?

Answer 4

rule for fractions divide by a fraction... find the reciprocal and multiply

Answer 5

my choices are

Answer 6

(x+5)(x+3)/(x-3)

Answer 7

x-3/x+3

Answer 8

x+6/x+5

Answer 9

well you can't evaluate the problem as its not equal to anything... and you don't have any numbers

based on your question... my solution seems sound