Math, asked by Sanskarkedar, 5 months ago

the product of two expressions is y² - z² +2xy - 2xz if one of them is 2x + y + z find the other​

Answers

Answered by Aishroxx01
23

Answer:

Second expression=(y + z)

Step-by-step explanation:

Let the second expression be A

Then, according to question,

A=(y²-z²+2xy-2xz)/(2x+y+z)

=[(y+z)(y-z) + 2x(y-z)]/(2x + y + z)

= (2x + y + z)(y + z)/(2x + y + z)

= (y + z)

Therefore other expression=(y + z)

Answered by seopawan
0

Step-by-step explanation:

we can take y2 and z2 as a and b so ,

a2+b2=(a+b)(a-b)

and in 2xy and 2xy common 2x

2

2

+

2

2

2

+

+

=

(

+

)

(

)

+

2

(

)

2

+

+

2x+y+z

y

2

−z

2

+2xy−2xz

=

2x+y+z

(y+z)(y−z)+2x(y−z)

= y-z

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