Expand: (3a-4b+5c)2
9a2+16b2+25c2-24ab+40bc-30ac
9a2+16b2+25c2-24ab-40bc-30ac
9a2+16b2+25c2-24ab-40bc+30ac
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Answer:
=> 9a^2 + 16b^2 + 25c^2 - 24ab - 40bc
+ 30ac
Explanation:
Since (a - b + c)^2 = a^2 + b^2 + c^2
-2 × a × b -2 × b × c +
2 × c × a
Therefore (3a - 4b + 5c)^2
=> (3a)^2 - (4b)^2 + (5c)^2 - 2 × 3a × 4b - 2
× 4b × 5c + 2 × 5c × 3a
=> 9a^2 + 16b^2 + 25c^2 - 24ab - 40bc +
9a^2 + 16b^2 + 25c^2 - 24ab - 40bc +
30 ca
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