Question

using the formula (a+b)² =a²+2ab+b², evaluate :(580)²

Answer 1

$using \\ \: the \: formula \: (a+b)² =a²+2ab+b² \\ evaluate :(580)² \\ solution \\ = (500 + 80) {}^{2} \\ = {(500)}^{2} + 2(500)(80) + {(80)}^{2} \\ = 250000 + 80000 + 6400 \\ = 336400 \: \: \: \: \: \: is \: the \: answer... \\ hope \: its \: help \: you \: dear...$

Answer 2

To Evaluate :

• (580)²

Identity to be Used :

• (a + b)² = a² + 2ab + b²

Solution :

✰ So, In this question, we have to use (a + b)² = a² + 2ab + b² . Now let's break the given number in the form of a and b, so that we can apply the given identity. 580 can be written in the form of 500 + 80 where a = 500 and b = 80 . Now we have got the number in the form of a and b so let's substitute the value of a and b in the given identity to solve the given Equation.

⠀

⟶⠀(a + b)² = a² + 2ab + b²

⟶⠀(580)² = 500² + 2(500)(80) + 80²

⟶⠀(580)² = 250000 + 2(40000) + 6400

⟶⠀(580)² = 250000 + 80000 + 6400

⟶⠀(580)² = 250000 + 86400

⟶⠀(580)² = 336400

So, the Required answer is 336400

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