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uranmaximum [27]
3 years ago
5

(2x + y)2 – (3x – 2y)2 + (x – 4y)(x + 4y11​

Mathematics
1 answer:
Vinvika [58]3 years ago
8 0

Answer:

Step-by-step explanation:

(a+ b)² = a² +  b² + 2ab

(2x + y)² = (2x)² + y² + 2*2x *y

             = 4x²  + y² + 4xy

(a- b)² = a² + b² - 2ab

(3x - 2y)² = (3x)² + (2y)² - 2*3x *2y

              = 9x² + 4y² - 12xy

(a - b)(a +b) = a² - b²

(x - 4y(x + 4y) = x² - (4y)²

                     = x² - 16y²

(2x + y)² - (3x - 2y)² + (x - 4y)(x +4y)

  = 4x²  + y² + 4xy - (9x² + 4y² - 12xy) + x² - 16y²

  = 4x²  + y² + 4xy - 9x² - 4y² + 12xy + x² - 16y²

  = 4x² - 9x² + x²  + y² - 4y² - 16y²+ 4xy + 12xy

 =    -4x² - 19y² + 16xy

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Radius = \sqrt{42}

Step-by-step explanation:

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What is the area of a triangle that has 6in high and 7in of the base
GenaCL600 [577]

Answer:

A=1/2(b)(h)

Step-by-step explanation:

A=1/2(7)(6)

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4 years ago
What is the simplified form of the following expression? 2√27+√12-3√3-2√12
LiRa [457]

Answer:

√3

Step-by-step explanation:

The given expression to be simplified is

2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}

but

2 \sqrt{27}=2\sqrt{9 \times 3}=2 \times \sqrt{9}\times \sqrt{3}=2 \times 3 \times\sqrt{3}=6 \sqrt{3}

\sqrt{12}=\sqrt{4\times3}= \sqrt{4}\times \sqrt{3}=2\sqrt{3}

Since √12=2√3,this implies that,

2\sqrt{12}=2\times2\sqrt{3}=4 \sqrt{3}

Therefore,

2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}=6\sqrt{3}+2\sqrt{3}-3 \sqrt{3} -4\sqrt{3}

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The simplified form of ,

2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12} is √3

8 0
3 years ago
What is the discriminant of y=2^2-2
Wittaler [7]

Hey there!


y = 2^2 - 2 \\  2^2 = 4  \\ y = 4 -2 \\ y = 2 \\ \\ Answer:  y = 2


Good luck on your assignment and enjoy your day!


~LoveYourselfFirst:)

8 0
3 years ago
Read 2 more answers
What is the volume of this container?
zmey [24]

Answer:

504 in³

Step-by-step explanation:

this is a rectangular prism and the volume formula is v = l * h * w

so now

v = l*w*h

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v = 576 inch³

that's not the answer, that's the volume for whole thing but there is a gap and we have to subtract it from the whole volume. you can look at the option and say it's 504 inch³ from common sense. here is the work:

the gap has 2 inch length, 6 inch width and 6 in height.

v = l*h*w

v = 6 * 2 * 6

v= 72 inch

now subtract the gap volume from total volume so

576 - 72 = 504 in³

5 0
3 years ago
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