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3 years ago

(2x+3y)²+(2x-3y)²

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

4 0

Answer:

Step-by-step explanation:

${(2x + 3y)}^{2} + {(2x - 3y)}^{2} \\ (2x + 3y)(2x + 3y) + (2x - 3y)(2x - 3y) \\ 2x(2x + 3y) + 3y(2x + 3y) + 2x(2x - 3y) - 3y(2x - 3y) \\ {4x}^{2} + 6xy + 6xy + {9y}^{2} + {4x}^{2} - 6xy - 6xy + {9y}^{2} \\ {4x}^{2} + 12xy + {9y}^{2} + {4x}^{2} - 12xy + {9y}^{2} \\ {4x}^{2} + {9y}^{2} + {4x}^{2} + {9y}^{2} \\ {8x}^{2} + {18y}^{2} \\ 2( {4x}^{2} + {9y}^{2} ) \\ 2( {2}^{2} {x}^{2} + {3}^{2} {y}^{2} ) \\ 2({(2x)}^{2} + {(3y)}^{2}) \\$

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Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a

sdas [7]

Answer:

-15

Step-by-step explanation:

We proceed as follows;

In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.

Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.

Thus, we have;

2a(b-3) + 5b + _

Now, putting -15 will give us the same expression in the first bracket and this gives us the following;

2a(b-3) + 5b-15

2a(b-3) + 5(b-3)

So we can have ; (2a+5)(b-3)

Hence the constant used is -15

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4 years ago

Someone help me on this question please ?

mash [69]

First, let's calculate the area of the rectangle. Find the distances between the length and the width. For the width we can use point A and point D.

(2, 2) and (20, 2)

20 - 2 = 18

So the width is 18 cm. Now find the length. We can use point A and point B.

(2, 2) and 2, 26)

26 - 2 = 24

So the length is 24.

$\sf A=lw$

$\sf A=(24)(18)$

$\sf A=432cm^2$

So the area of the rectangle is 432 square centimeters, now let's find the area of the circle.

The radius is given as 15 cm. Use 3.14 to approximate for pi.

$\sf A=\pi r^2$

$\sf A\approx (3.14)(15)^2$

$\sf A\approx (3.14)(225)$

$\sf A\approx 706.5cm^2$

So the area of the circle is approximately 706.5 square centimeters. Subtract this area from the area of the rectangle to find the value of the shaded area.

$\sf 706.5-432=\boxed{\sf 274.5cm^2}$

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3 years ago

How to convert decimals 0.6 to fraction and show the work?

Misha Larkins [42]

0.6

6/10 because there is only one number after the decimal.

6/10 - reduce

Divide by 2

6/2= 3

10/2= 5

Answer: 3/5

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ikadub [295]

Just add all of them up the sides

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Polygon A is 4 times smaller than polygon B. If one side of polygon B measures 20 inches, what does the matching side of polygon

skelet666 [1.2K]

So polygon B measures 20 and polygon A is four times smaller than you would divide that 20 by for and get 5 for your answer:)

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