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katrin [286]
3 years ago
14

Which of the following is equivalent to (7x + 3y)(8x + 5y)?

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
6 0

Answer:

Option C, 56x^2 + 59xy + 15y^2

Step-by-step explanation:

<u>Step 1:  Multiply </u>

(7x + 3y)(8x + 5y)

(7x * 8x) + (7x * 5y) + (3y * 8x) + (3y * 5y)

(56x^2) + (35xy) + (24xy) + (15y^2)

56x^2 + 59xy + 15y^2

Answer:  Option C, 56x^2 + 59xy + 15y^2

frosja888 [35]3 years ago
3 0
(7x+3y)(8x+5y)
56x^2+35xy+24xy+15y^2
56x^2+59xy+15y^2
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Step-by-step explanation:

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(-3x²+8x-7)
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3 years ago
The volume of a refrigerator is x^3-3x^2-16x-12.It's the height x+2.What are the other two dimensions?
cluponka [151]

Answer:

the other two dimensions are (x + 1) and  (x - 6)

Step-by-step explanation:

Given;

Polynomial function as volume of refrigerator = x³ - 3x²- 16x - 12

factor of the function as height of the refrigerator, = x + 2

Divide the polynomial function by the given factor to get the remaining factors, which are the other two dimensions;

                           x²  - 5x - 6

                          --------------------------------------

            x + 2  √ x³ - 3x²- 16x - 12

                      -  (x³  + 2x²)

                         ------------------------------

                                 -5x² - 16x - 12

                              -  (-5x² - 10x)

                         -------------------------------

                                           -6x - 12

                                         - (-6x - 12)

                         --------------------------------------

                                                 0

Factorize the quotient ( x²  - 5x - 6);

x²  - 5x - 6 =   x²  + x  -6x - 6

                  =   x (x + 1) - 6( x + 1)

                  = (x + 1) (x - 6)

Thus, the other two dimensions are (x + 1) and  (x - 6)

5 0
3 years ago
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