Math, asked by sarnendudas83, 1 year ago

What is the formula of (a+b+c)^2

Answers

Answered by RobinMilford
2

The square of the sum of three or more terms can be determined by the formula of the determination of the square of sum of two terms.

Now we will learn to expand the square of a trinomial (a + b + c).

Let (b + c) = x

Then (a + b + c)2 = (a + x)2 = a2 + 2ax + x2

= a2 + 2a (b + c) + (b + c)2

= a2 + 2ab + 2ac + (b2 + c2 + 2bc)

= a2 + b2 + c2 + 2ab + 2bc + 2ca

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

Hope it helps

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Answered by amishi14
1

Answer:

ab = ¼ [(a + b)² - (a - b)²] (a - b)² = (a + b)² - 4 ab. (a + b)² = (a - b)² + 4 ab. (a+b+c)² =a²+b²+c²+2ab+2bc+2ca. (a-b+c)² =a²+b²+c²-2ab-2bc+2ca.

Step-by-step explanation:

hope it helps you mark me as the brailiest

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