Question

Proving (a + b)^2 = a^2 +2ab + b^2

Answer 1

yes this is solved by the distributive property of multiplication.

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

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

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

therefore

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