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3 years ago

Factorise:x^2-y^2-x-y

Mathematics

1 answer:

ivanzaharov [21]3 years ago

7 0

9514 1404 393

Answer:

(x -y -1)(x +y)

Step-by-step explanation:

The expression can be factored by grouping.

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

= (x -y)(x +y) -1(x +y)

= (x -y -1)(x +y)

_____

It is useful to know that a difference of squares is factored as ...

a^2 -b^2 = (a -b)(a +b)

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If T is the midpoint of CE then CT=TE

mr_godi [17]

Answer: true statement

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3 years ago

Louis bought a burger and soda for $8. Kate purchased a slice of pizza and soda for $9. Biff purchased a burger, a slice of pizz

Arte-miy333 [17]

The equation for Louis's purchase is: $x+y=8$

The equation for Kate's purchase is: $y+z=9$

The equation for Biff's purchase is: $x+y+z=13.50$

Step-by-step explanation:

First of all we have to define variables for each item involved in the purchase

Let x represent burger

y represent soda

z be the slice of pizza

Then

"Louis bought a burger and soda for $8"

$x+y=8$

"Kate purchased a slice of pizza and soda for $9"

$y+z=9$

"Biff purchased a burger, a slice of pizza and a soda for $13.50"

$x+y+z=13.50$

The equation for Louis's purchase is: $x+y=8$

The equation for Kate's purchase is: $y+z=9$

The equation for Biff's purchase is: $x+y+z=13.50$

Keywords: Linear Equations, Variables

Learn more about Linear equations at:

#LearnwithBrainly

5 0

3 years ago

In the adjoining figure O is the centre of the circle the tangent to the circle of radius 6 cm from the exterior point P of the

slamgirl [31]

Answer:

Let P be the external point. O be the origin. join O and P get OP and nearest point on the circle from P be A.

Let Q be the point onthe circle in which, tangent make 90° with radius at Q.

PQ = 8 and OQ = 6

we get a right angled triangle PQO right angled at Q.

so, OP^2 = OQ^2 + PQ^2= 8^2 + 6^2 = 64 + 36 =1==

therefore OP =10cm

we need nearest point from P, which is PA

PA = OP - OA= 10 -6=4cm

7 0

2 years ago

Genevieve wants to verify that }(5x-20)-(4x-8) is equivalent to x. Which procedure can Genevieve follow to determine if

Gnom [1K]

They aren't equivalent

<h2>Explanation:</h2>

In order to determine whether the expression:

$(5x-20)-(4x-8)$

is equivalent to:

$x$

Genevieve needs to follow these steps:

Step 1. Get rid parentheses

$5x-20-4x+8$

Step 2. Combine like terms

$5x-4x-20+8$

Step 3. Solve

$x-12$

So:

$x\neq x-12$

Therefore, these two expressions aren't equivalent.

<h2>Learn more:</h2>

Writing expressions: brainly.com/question/13894833#

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4 0

3 years ago

Read 2 more answers

Round 27346 to 2 significant figures i need a step by step expansion

belka [17]

Answer:

27000

Step-by-step explanation:

We want to round 27346 to 2 significant figures.

Now, the number already has 5 significant figures, so to reduce it to 2 sig figures, we will have to reduce the 3 digits from the right to zero so that we can have just 2 significant figures by approximating.

Thus, 3 is less than 5 and so 7 cannot increase. Thus, we will have 27000 as the number when reduced to 2 significant figures.

5 0

3 years ago

Factorise:x^2-y^2-x-y​

Factorise:x^2-y^2-x-y