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x^2-y^2+x+y

2007-01-13 19:05:55 · 9 answers · asked by Kirej 1 in Science & Mathematics Mathematics

9 answers

since x² - y² = (x - y)(x + y) so

x² - y² + x + y = (x - y)(x + y) + (x + y) =
x² - y² + x + y = (x + y) [ (x - y) + 1]

2007-01-14 03:19:41 · answer #1 · answered by Anonymous · 0 0

x^2 - y^2 + x + y
= (x - y +1)( x +y)

2007-01-13 20:59:09 · answer #2 · answered by inamoto ichiban 2 · 0 0

(x^2 - y^2)+(x+y)
= (x-y)(x+y) + (x+y)
= (x+y)(x-y+1)

2007-01-13 20:09:26 · answer #3 · answered by Anonymous · 0 0

To factor this, you have to use grouping. Factor the first two terms and the last.

x^2 - y^2 + x + y

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

It may not be immediately obvious that it groups, so I'll make it obvious by doing this:

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

Each term has an (x + y), so we factor that out of the whole thing.

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

2007-01-13 19:12:24 · answer #4 · answered by Puggy 7 · 0 0

x² - y² +x + y =

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

- - - - - - -s-

2007-01-13 21:57:04 · answer #5 · answered by SAMUEL D 7 · 0 0

(x²-y²)+(x+y) = (x-y)(x+y)+(x+y)
= (x+y)(x-y+1)

2007-01-13 19:11:36 · answer #6 · answered by smci 7 · 0 0

Given exp=(x^2-y^2)+(x+y)
=(x+y)(x-y)+(x+y)
=9x=y) (x-y+1)
t

2007-01-13 19:43:41 · answer #7 · answered by alpha 7 · 0 0

x^2-y^2 is in the form of [a^2-b^2=(a+b)(a-b)]
let a=x and be=y
it becomes
(x+y)(x-y)(x+y)
take (x+y) common
this becomes
(x+y){(x-y)+1}

2007-01-13 20:02:35 · answer #8 · answered by srinu710 4 · 0 0

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

now factor (x + y)

(x + y)[(x - y) + 1]

2007-01-13 19:10:17 · answer #9 · answered by ? 2 · 0 0

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