Use the figure to find the product (x + 3)(x + 2). (Hint: Find the area of each small square or rectangle, then add.)

Mathematics

2 answers:

uysha [10]3 years ago

6 0

Answer:

The product is x² + 5x + 6 which is same with the product of (x + 3)(x + 2)

Step-by-step explanation:

Using the smaller square or rectangle to find the product of (x + 3)(x + 2) , we find the area of each rectangle or square. The area means multiplying the length of each square or rectangle to it width.

The first row can be multiplied with each column as follow

x² + x + x + x = x² + 3x

second row with each column

x + 1 + 1 + 1 = x +3

third row with each column

x + 1 + 1 + 1 = x + 3

adding the whole results

x² + 3x + x + 3 + x + 3 = x² + 5x + 6 which is the same as the product of (x + 3)(x + 2)

Keith_Richards [23]3 years ago

5 0

(x+3)(x+2)
x^2+2x+3x+6
x^2+5x+6<<<<<< answer

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3 years ago

Simplify (3w^2-7w+6)+(-5w^2+2w+1)

leva [86]

Answer:

-2w^2 - 5w + 7

Step-by-step explanation:

Just the values with the same powers of w

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3 years ago

A shirt company has 3 designs each of which can be made with short or long sleeves . There are 7 color patterns available. How m

Arlecino [84]

Answer:

There are 42 different types of shirt available for this company.

Step-by-step explanation:

Given:

Number of design Company has = 3

Number of color pattern available = 7

Types of shirt (short or long sleeves) = 2

We need to find the number of different types of shirts are available from this company.

Solution:

the number of different types of shirts can be calculated by multiplying Number of design Company has with Number of color pattern available also multiplying with Types of shirt (short or long sleeves).

framing in equation form we get;

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