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

User Sherlene
by
7.3k points

2 Answers

3 votes

Answer:

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

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)

User Florian Doyon
by
8.8k points
4 votes

Answer:

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

Explanation:


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)\\

User RobinCTS
by
8.5k points

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