Question

expand using identity (3a+b-5c)^2​

Answer 1

Question :-

Expand using identity :-

$\bf {(3a + b - 5c)}^{2}$

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Solution :-

The identity used here is :-

$\boxed{ \sf {(a + b - c)}^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2(ab - bc - ca)}$

Calculation :-

$\sf : \implies {(3a + b - 5c)}^{2} = {(3a)}^{2} + {(b)}^{2} + {(5c)}^{2} + 2((3a \times b) - (b \times - 5c) - ( - 5c \times 3a)) \\ = \sf9 {a}^{2} + {b}^{2} + 25 {c}^{2} + 2(3ab + 5bc + 15ac) \\ \sf= \boxed{\boxed{ \bf \red{{9a}^{2} + {b}^{2} + 25 {c}^{2} + 6ab + 10bc + 30ac}}}$

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Final Answer :-

$\boxed{\boxed{ \sf\red{{9a}^{2} + {b}^{2} + 25 {c}^{2} + 6ab + 10bc + 30ac}}}$

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Note :-

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