Question

Expand the following :( a+2b-3c)^2

Answer 1

Answer:

Use the formula ( a + b - c = a^2 + b^2 + c^2 + 2ab - 2bc - 2ac)

Answer 2

Given :-

$\sf {(a + 2b - 3c)}^{2}$

To,

Expand

Solution :-

$\sf {(a)}^{2} + {(2b)}^{2} + {( - 3c)}^{2} + 2(a)(2b) + 2(2b)( - 3c) + 2( - 3c)(a)$

$\sf {a}^{2} + {4b}^{2} + {9c}^{2} + 4ab - 12bc - 3ca$

Procedure :-

→ This question is from the Algebraic identites.

→ This is question we have to expand the given expression. By Using 5th identity of Algerbric identites, we will solve this expression.

→ First we will multiply the constants which are in the brackets and after that we will multiply it with the 2 which is outside the bracket.

→ We have out a negetive sign too, because (+)(-) = -. Hence the final answer is a² + 4b² + 9c² + 4ab-12bc-3ca

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