Question

5. Factorise the following expressions :
(i) a^2 - 2ab + b^2 -c^2
(i) (x^2 - 2xy + y^2) - z^2
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Answer 1

Step-by-step explanation:

1) (a-b) ²-c²=.

(a-b) ²=c²

a-b=c

a-b-c=0

a=b-c

2) (x-y) =z

x-y-z=0

x=y-z

Answer 2

Heya Mate ☺

$1) \: {a}^{2} - 2ab \: + {b}^{2} - {c}^{2} \\ \\ = ( {a - b})^{2} - {c}^{2} \\ \\ = (a - b + c)(a - b - c)$

$2) \: ( {x}^{2} - 2xy + {y}^{2} ) - {z}^{2} \\ \\ = ( {x - y})^{2} - {z}^{2} \\ \\ = (x - y + z)(x - y - z)$

Hope this helps you ☺