Question

a2-b2=(a+b)(a-b)
identie​

Answer 1

Step-by-step explanation:

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

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

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

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

$\huge{ \red{ \boxed{LHS=RHS}}}$

hence it's proved

Answer 2

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

$To \: Prove :$

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

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

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

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

$L.H.S = R.H.S$