Question

a² – b² is equal to​

Answer 1

Answer:

Question:-

$\sf a^2-b^2=?$

Solution:-

According to Algebra

$\qquad\quad {:}\longmapsto\sf a^2-b^2=(a+b)(a-b)$

Verification:-

RHS:-

$\qquad\quad {:}\longmapsto\sf (a+b)(a-b)$

• use distributive formula

$\qquad\quad {:}\longmapsto\sf a (a-b)+b (a-b)$

• Simplify

$\qquad\quad {:}\longmapsto\sf a^2-ab+ba-b^2$

$\qquad\quad {:}\longmapsto\sf a^2-\cancel{ab}+\cancel{ab}-b^2$

$\qquad\quad {:}\longmapsto\sf a^2-b^2$

$\therefore\sf LHS=RHS {}_{(verified)}$

Answer 2

Question:-

$\sf a^2-b^2=?$

Solution:-

According to Algebra

$\qquad\quad {:}\longmapsto\sf a^2-b^2=(a+b)(a-b)$

Verification:-

RHS:-

$\qquad\quad {:}\longmapsto\sf (a+b)(a-b)$

use distributive formula

$\qquad\quad {:}\longmapsto\sf a (a-b)+b (a-b)$

Simplify

$\qquad\quad {:}\longmapsto\sf a^2-ab+ba-b^2$

$\qquad\quad {:}\longmapsto\sf a^2-\cancel{ab}+\cancel{ab}-b^2$

$\qquad\quad {:}\longmapsto\sf a^2-b^2$

$\therefore\sf LHS=RHS {}_{(verified)}$✅