Question

find AB if A(a,b) and B(-a,-b)​

Answer 1

Answer:

formula of

a^2-b^2

Step-by-step explanation:

A(a,b)and B(-a,-b)

(a+b)×(-a-b)

$- {a}^{2} - ab - ab - {b}^{2}$

$- {a}^{2} - {b }^{2} - 2ab$

we can write it also in the form of

${a}^{2} + {b}^{2} - 2ab$

Answer 2

In mathematics, an algebraic expression is a combination of variables and constants, as well as algebraic operations condition, subtraction etc terms, are the building blocks of expressions.

Given $A$ is $(a,b).$

          $B$ is $(-a,-b).$

Now $AB$ is

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

$=-a^{2}-ab-ab-b^{2} \\=-a^{2} -2ab-b^{2}$

So, the value of $AB$ is $-a^{2} -2ab-b^{2} .$