Question

write the eight identities (a+b)2=a+b+2ab verify the algerbric Identity​

Answer 1

Answer:-

$\boxed{\sf (a+b)^2=a^2+2ab+b^2}$

LHS:-

$\\ \sf\longmapsto (a+b)^2$

$\\ \sf\longmapsto (a+b)(a+b)$

$\\ \sf\longmapsto a(a+b)+b(a+b)$

$\\ \sf\longmapsto a^2+ab+ba+b^2$

$\\ \sf\longmapsto a^2+ab+ab+b^2$

$\\ \sf\longmapsto a^2+2ab+b^2$

$\\ \sf\longmapsto RHS$

Hence proved