Question

9) Simplify: (a+b)(a - b) + (b-c)(b+c] + (c-a) (c+a)​

Answer 1

Answer:

0

Step-by-step explanation:

apply formula (x+y)(x-y) = x^2-y^2

(a+b)(a - b) + (b-c)(b+c] + (c-a) (c+a)

= a^2 - b^2 + b^2 - c^2 + c^2 - a ^2

= a^2 -a^2 + b^2 - b^2 + c^2 -c^2

= 0

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Answer 2

Answer:

• (a+b)(a - b) + (b-c)(b+c) + (c-a) (c+a)
• ${a}^{2} - {b}^{2} + {b}^{2} - {c}^{2} + {c}^{2} - {a}^{2}$
• ${a}^{2} - {a}^{2} - {b}^{2} + {b}^{2} - {c}^{2} + {c}^{2}$
• $= 0$