Expand (2a – 3b + 4c)^2
Expand (2a – 3b + 4c)2
A) 4a2 – 9b2 + 16c2 – 12ab – 24bc + 16ac
B) 4a2 + 9b2 + 16c2 – 12ab – 24bc + 16ca
C) 4a2 – 9b2 – 16c2 – 12ab – 24bc + 16ca
D) 4a2 + 9b2 + 16c2 – 12ab + 24bc + 16ac
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Correct option is (B) \(4a^2+9b^2+16c^2-12ab-24bc+16ca\)
\((2a-3b+4c)^2\) \(=(2a)^2+(-3b)^2+(4c)^2+2\times2a\times-3b\) \(+2\times-3b\times4c+2\times2a\times4c\)
\(=4a^2+9b^2+16c^2-12ab-24bc+16ac\)
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