singhradheram
singhradheram singhradheram
  • 01-12-2020
  • Mathematics
contestada

Factorise x(x+z) -y(y+z)
Show calculation and please give correct answers.​

Respuesta :

kapinbaniya7
kapinbaniya7 kapinbaniya7
  • 01-12-2020

Answer:

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

Step-by-step explanation:

[tex]x^{2} +xz-y^{2} -yz\\x^{2} -y^{2} +z(x-y)\\(x+y)(x-y)+z(x-y)\\(x-y)(x+y+z)\\[/tex]

Answer Link
jimrgrant1 jimrgrant1
  • 01-12-2020

Answer:

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

Step-by-step explanation:

Given

x(x + z) - y(y + z) ← distribute both parenthesis

= x² + xz - y² - yz ← rearrange

= x² - y² + xz - yz ← x² - y² can be factored as a difference of squares

= (x - y)(x + y) + z(x - y) ← factor out (x - y) from each term

=(x - y)(x + y + z)

Answer Link

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