We want to factor the following expression: (x-5)^2+2y^3(x-5)+y^6(x−5)
2
+2y
3
(x−5)+y
6
left parenthesis, x, minus, 5, right parenthesis, squared, plus, 2, y, cubed, left parenthesis, x, minus, 5, right parenthesis, plus, y, start superscript, 6, end superscript
We can factor the expression as (U+V)^2(U+V)
2
left parenthesis, U, plus, V, right parenthesis, squared where UUU and VVV are either constant integers or single-variable expressions.
1) What are UUU and VVV?

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!