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3 years ago

(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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4 years ago

What is the simplified form of the following expression? 2√27+√12-3√3-2√12

LiRa [457]

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√3

Step-by-step explanation:

The given expression to be simplified is

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

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Since √12=2√3,this implies that,

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The simplified form of ,

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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!

~ $LoveYourselfFirst:)$

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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

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3 years ago

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

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