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2 years ago

Simplify (x + y)² - (x - y)² + 2xy - 3x²

Mathematics

1 answer:

Vinil7 [7]2 years ago

3 0

Answer:

$\huge\boxed{\sf 6xy-3x^2}$

Step-by-step explanation:

<u>Given Expression:</u>

(x + y)² - (x - y)² + 2xy - 3x²

<u>Formulas used:</u>

$(x+y)^2=x^2+2xy+y^2$
$(x-y)^2=x^2-2xy+y^2$

Expand the above expression according to the formulas

$=x^2+2xy+y^2-(x^2-2xy+y^2)+2xy-3x^2\\\\= x^2+2xy+y^2-x^2+2xy-y^2+2xy-3x^2\\\\cancel \ out \ x^2 \ and \ y^2\\\\= 2xy+2xy+2xy-3x^2\\\\= 6xy-3x^2\\\\\rule[225]{225}{2}$

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Find the length to the nearest centimeter of the diagonal of a square 30 cm. on a side

tiny-mole [99]

Answer:

42 cm.

Step-by-step explanation:

Please find the attachment.

Let x be the length of diagonal of the square.

We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.

We can see from our diagram that triangle AC is the diagonal of our square.

Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.

$AC^2=AD^2+DC^2$

Upon substituting our given values in above formula we will get,

$x^2=(30\text{ cm})^2+(30\text{ cm})^2$

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Let us take square root of both sides of our equation.

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3 years ago

Johnny says that rolling a number cube twice and getting a 6 both times is an example of dependent events because getting a 6 on

hjlf

Answer:

This is not correct

Step-by-step explanation:

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2 years ago

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Irrational number between 2/7 and 3/7

e-lub [12.9K]

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Step-by-step explanation:

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2 years ago

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Ksju [112]

The mid-point for given endpoints is (4,3)

Step-by-step explanation:

a mid-point is the point on a line segment that divides it into two equal portions.

If (x1,y1) and (x2,y2) are the coordinates of vertices of a line segment, then mid-point is given by:

$M = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

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(x1,y1) = (9,9)

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The mid-point for given endpoints is (4,3)

Keywords: Coordinate Geometry, Mid-point

Learn more about coordinate geometry at:

#LearnwithBrainly

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Simplify (x + y)² - (x - y)² + 2xy - 3x²​

Simplify (x + y)² - (x - y)² + 2xy - 3x²