Question

factorise x [x+z] -y [y+z]

Answer 1

Answer:

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

Step-by-step explanation:

x [x+z] -y [y+z]

= $x^{2}$ + xz -$y^{2}$ - yz

=( $x^{2}$ - $y^{2}$) + xz - yz

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

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

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

Hope it helps!

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Answer 2

Answer:

 x2 + xz - zy - y2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (x • (x + z)) -  y • (z + y)

Step  2  :

Equation at the end of step  2  :

 x • (x + z) -  y • (z + y)

Step  3  :

Final result :

 x2 + xz - zy - y2