The equation (a+b)² = a² + 2ab + b² is an example of the formula for squaring a binomial. When you expand (a+b)², it means you are multiplying (a+b) by itself.
To expand (a+b)², you can use the distributive property of multiplication over addition. This means you multiply each term in the first expression by each term in the second expression and then add the results.
So, when you expand (a+b)², you get:
(a+b)² = (a+b)(a+b) = a(a+b) + b(a+b) = a² + ab + ab + b² = a² + 2ab + b²
To expand (a+b)², you can use the distributive property of multiplication over addition. This means you multiply each term in the first expression by each term in the second expression and then add the results.
So, when you expand (a+b)², you get:
(a+b)² = (a+b)(a+b) = a(a+b) + b(a+b) = a² + ab + ab + b² = a² + 2ab + b²
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