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3 years ago

5

(3×²+5y²)³= (2y³-×5)²=

1 answer:

irakobra [83]3 years ago

7 0

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

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What is the area of the rectangle with the given dimensions? *

exis [7]

Given:

The dimensions of a rectangle are $2x-5$ and $3x+3$ .

To find:

The expression that represents the area of the rectangle in simplest terms.

Solution:

Area of a rectangle is:

$Area=Length\times Width$

The dimensions of a rectangle are $2x-5$ and $3x+3$ . So, the area of the given rectangle is:

$Area=(2x-5)\times (3x+3)$

$Area=2x(3x)+2x(3)-5(3x)-5(3)$

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3 years ago

Anna makes 120 dolls each month to sell. This month, she increases the number of dolls she makes by 30%. How many dolls does Ann

scoray [572]

120 * .30 (30%) = 36
120+36 = 156

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3 years ago

A bag contains 1 yellow ball and 9 red balls . A ball is chosen at random from the bag . what is the best answer for the probabi

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3 years ago

F(x) = 3x² + 9x – 16<br> Find f(-8)

Nezavi [6.7K]

Answer: 104

Step-by-step explanation:

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11 months ago

A school baseball team raised $810 for new uniforms.Each player sold 1 book of tickets.There were 10 tickets in a book and each

Leviafan [203]

Answer:

The school baseball team sold 270 tickets

Step-by-step explanation:

Step 1

Identify the total amount of tickets sold by each player;

1 player=1 book of tickets

But 1 book=10 tickets

Step 2

Express the total cost of ticket sales per book as follows;

total cost=cost per ticket×number of tickets per book

where;

cost per ticket=$3

number of tickets per book=10

replacing;

total cost=(3×10)=$30

Step 3

Using the expression below, solve for the number of tickets sold

Total amount raised=price per ticket×number of tickets sold

where;

total amount raised=$810

price per ticket=$3

number of tickets sold=n

replacing;

810=3×n

3 n=810

n=810/3=270

n=270

The school baseball team sold 270 tickets

5 0

3 years ago