First one:
(3x^2+5y^2)^3
Step 1: Use the binomial theorem to expand
(3x^2)+3(3x^2)^2(5y^2)+3(3x^2)(5y^2)2+(5y^2)^3
Step 2: Simplify each term
27(x^2)^3+3(3x^2)^2(5y^2)+3(3x^2)(5y^2)^2+(5y^2)^3
Step 3: Multiply the exponents
27x^6+27x^4(5y^2)+3(3x^2)(5y^2)^2+(5y^2)^3
27x^5+135x^4y^2+3(3x^2)(5y^2)^2+(5y^2)^3
Keep going to get the final answer:
27x^6+135x^4y^2+225x^2y^4+125y^6
2nd question: (2y^3-5x)^2
Do the same thing...step by step
Answer: 4y^6-20xy^3+25x^2
Lets try to solve this problem using 2 equations, also,we will have bananas=b and pears =p
5b+3p= $3.80
2b+4p= $3.20 i will divide this equation by 2 and get
b+2p= $ 1.60 we subtract 2p from both side so i can find the cost for 1 banana
b+2p-2p=1.60-2p
b= $1.60-2p
I will replace the b in the first equation now,
5(1.60-2p)+3p=$3.80
8-10p+3p=3.80 solving for p
8-7p=3.80 we subtract 8 from both sides
-7p=-8+3.80
-7p=-4.20 we multiply both sides by (-1)
7p=4.20 we divide now both sides by 7
p=0.60 a pear cost 0.60 cents
a banana is b=1.60-2p, b=0.40 cents
We have been given that Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long.
The amount of trim will be equal to perimeter of triangle. The perimeter of given triangle will be 3 times each side length that is 
inches.
Now we need to convert 63 inches into feet.
12 inches = 1 feet
63 inches = 
feet = 5.25 feet.
We are also told that Maria has 
foot of trim left, so total length of trim would be trim used plus trim left that is 
feet.
Since we need to find length of trim in yards, so we will convert 6 feet into yards.
3 feet = 1 yard
6 feet = 
yards = 2 yards
Therefore, the length of the trim was 2 yards.
