Question

For a= 3 and b= 4 verify the identities ( a+ b)2 = a square +2 ab + b square and a square - b square= ( a+ b) . ( a- b).

Answer 1

(a+b)

$(a + b) {}^{2} = a {}^{2} + 2ab + b { }^{2} \\ (3 + 4) {}^{2} =3 {}^{2} +2×3×4 + 4 {}^{2} \\ 7 { }^{2} = 9 + 24 + 16 \\ 49 = 49 \\ proved \\ </p><p>$

$a { }^{2} - b {}^{2} = (a + b)(a - b) \\ 3 {}^{2} - 4 {}^{2} = (3 + 4)(3 - 4) \\ 9 - 16 = 7 \times - 1 \\ - 7 = - 7 \\ 7 = 7 \\ hence \: proved$

Answer 2

Here is a detailed solution for your question mate.