Question

[3] Expand : (3a – 2b)²​

Answer 1

Answer:

Question :-

Expand : (3a – 2b)²

Identity :-

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

Required Answer :-

${9a}^{2} - 12ab + {4b}^{2}$

Solution :-

$(3a – 2b)²$

$= {(3a)}^{2} - 2 \times 3a \times 2b + {(2b)}^{2}$

$= {9a}^{2} - 12ab + {4b}^{2}$

Answer 2

$\sf \: Question :- \\ \sf \: Expand : (3a – 2b)² \\ \\ \sf \: Identity :- \\ \boxed{{(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2}(a−b)2=a2−2ab+b2} \: \\ \\ \sf \: Required Answer :- \\ \mathfrak{{9a}^{2} - 12ab + {4b}^{2}9a2−12ab+4b2 }\\ \\ \large\sf \: Solution :- \\ (3a – 2b)²(3a–2b)² \\ = {(3a)}^{2} - 2 \times 3a \times 2b + {(2b)}^{2} \\ =(3a)2−2×3a×2b+(2b)2 \\ = {9a}^{2} - 12ab + {4b}^{2} \\ =9a2−12ab+4b2$