Question

solve . ( 3a – 4b + 5c)²​

Answer 1

Answer: ( 3a – 4b + 5c)²​ =  (9a² + 16b² + 25c² + -24ab + -40bc + 30ac)

Step-by-step explanation: ( 3a – 4b + 5c)²​

Here we will use (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

So ( 3a + - 4b + 5c)²​

(3a)² + (-4b)² + (5c)² + 2(3a)(-4b) + 2(-4b)(5c) + 2(5c)(3a)

(9a² + 16b² + 25c² + -24ab + -40bc + 30ac)

So  ( 3a – 4b + 5c)²​ =  (9a² + 16b² + 25c² + -24ab + -40bc + 30ac)

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Answer 2

Step-by-step explanation:

(a+b+c) ² = a² + b² + c² -2ab - 2bc -2ca

( 3a – 4b + 5c)² =

(3a)² + (-4b)² + (5c)² - 2(3a)(-4b) -2(-4b)(5c) -2(5c)(3a)

= 9a² + 16b²+ 25c² + 24ab + 40bc - 30ca

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