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Expand using suitable identities : (- 2a + 5b – 3c)^2

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Expand using suitable identities : (- 2a + 5b – 3c)2

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(- 2a + 5b – 3c)2 

= (- 2a)2 + (5b)2 + (- 3c)2 + 2 (- 2a) (5b) + 2 (5b) 

(- 3c) + 2 (- 3c) (- 2a)

= 4a2 + 25b2 + 9c2 – 20ab – 30bc + 12ca 

[ ∵ (x + y + z)2 = x2 + y2 + z2 + 2xy +2yz +2za]

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