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2 years ago

(2a+b)^2 how do you do this

1 answer:

3 0

• Expand (2a + b)²:

(2a + b)²

= (2a + b) · (2a + b)

Multiply out the brackets by applying the distributive property of multiplication:

= (2a + b) · 2a + (2a + b) · b

= 2a · 2a + b · 2a + 2a · b + b · b

= 2²a² + 2ab + 2ab + b²

Now, group like terms together, and you get

= 2²a² + 4ab + b²

= 4a² + 4ab + b² <——— expanded form (this is the answer).

I hope this helps. =)

Tags: <em>special product square of a sum algebra</em>

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