Question

(a+b-c) (a-b-c) simplify​

Answer 1

• As per the data given in the question, we have to find the value of the expression.

Given data:- $(a+b-c)(a-b-c).$

To find:- the value of $(a+b-c)(a-b-c).$

Solution:-

• When you take a number and add it multiple of times is called multiplication.
• Properties of multiplication are:-

1. Commutative property.
2. Associative property.
3. Distributive property.

             $(a+b-c)(a-b-c).\\=a^{2} -ab-ac+ab-b^{2} -bc-ac-bc+c^{2} \\=a^{2} -2ac-b^{2} +c^{2} .$

     Hence the final answer will be $a^{2} -2ac-b^{2} +c^{2} .$

Answer 2

Answer:

$a^{2} +c^{2} -b^{2} -2ac$.

Step-by-step explanation:

Given $(a+b-c)(a-b-c)$

Take $a-c$ terms separate from the $b$ term.

$((a-c)+b)((a-c)-b)$

This is in the form $(a-b)(a+b)=a^{2}-b^{2}$.

We can write it as $((a-c)^{2}-b^{2} )$

$=a^{2}+c^{2} -2ac-b^{2}$.