Math, asked by shivam8245, 5 months ago

expand (a+2b-3c)^2 please answer this question

Answers

Answered by Anonymous
6

\huge{\mathbb{\pink{\fcolorbox{pink}{gold}{†AnSwEr†}}}}

\implies( a + 2b - 3c )²

\implies( a + 2 × b - 3 × c )²

\implies a² + 2² × b² - 3² × c²

\implies a × a + 2 × 2 × b × b - 3 × 3 × c × c

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Answered by Anonymous
14

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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