Simplify completely x2-3x-54 over x2-18+81 multiplied by x2+12x+36 over x+6

Step-by-step explanation:

First factor all expressions:

Numerator:

(x^2-3x-54)*(x^2+12x+36)

=(x-9)(x+6)*(x+6)(x+6)

=(x-9)(x+6)^3

Denominator:

(x^2-18+81)*(x+6)

=(x-9)(x-9)*(x+6)

We see clearly that the highlighted terms are common factors between the numerator and denominator, and can be cancelled from each PROVIDED that x does not equal 9, nor x does not equal -6.

Thus the resulting simplified expression is

(x+6)^2/(x-9)  provided x does not equal 9 nor -6.

12m

step-by-step explanation:

square root means have of a number so have of 3 is 1.5 then multiply it by 8 and you get your answer!

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!