Question

Darcy is practicing binomial expansion. She wrote the following solution:

(2x+1)^2=(2x)^2+(1)^2
=4x^2+1
She was shocked to find out that her solution is incorrect. Explain step-by-step how to correctly expand and simplify (2x+1)^2. Include the solution in your explanation.

Answer 1

Answer:

By the known formula

(a+b)^2 = a^2 + b^2+ 2ab

(2x + 1)^2 = (2x)^2 + 1^2 + 2(2x)(1)

= 4x^2 + 1 + 4x

= 4x^2 + 4x +1

Hopes it helps

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Answer 2

Answer:

Step-by-step explanation:

4