Question

What should be added to xy+yz+zx to get -xy-yz-zx?​

Answer 1

Let the thing to be added be X,

Therefore,

X + (xy+yz+zx) = -xy-yz-zx

X = -xy-yz-zx -(xy+yz+zx)

X = -xy-yz-zx-xy-yz-zx

X = -2xy-2yz-2zx

= -2(xy+yz+zx)

Answer 2

$\bf - 2xy - 2yz - 2zx$ should be added to $\bf xy + yz + zx$ to get $\bf - xy - yz - xz$

Given:

• xy+yz+zx

To find:

• What should be added to xy+yz+zx to get -xy-yz-zx?

Solution:

Concept to be used:

If two numbers are added with different sign, than sign of greater number is taken.

Step 1:

Think of an expression which can convert xy+yz+zx in -xy-yz-zx.

It is clear that xy to be converted to -xy.

So,

If -2xy is added to xy, thus it will be -xy.

According to this add two more terms for yz and zx.

Step 2:

Add $- 2xy - 2yz - 2zx$ to xy+yz+zx.

$= xy + ( - 2xy) + yz + ( - 2yz) + xz + ( - 2xz)$

or

$= xy - 2xy + yz - 2yz + xz - 2xz$

or

$= - xy - yz - xz$

Thus,

$\bf - 2xy - 2yz - 2xz$ is added to

$\bf xy + yz + xz$ to get $\bf - xy - yz - xz$

_______________________________

Learn more:

1) What must be added to 3x^2 – 2x + 5 to get 5x^3 – 3x?

https://brainly.in/question/16827176

2) The common factor of x3y2 and x4y is

https://brainly.in/question/30053282