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write the following expression as a simplified polynomial in standard form.
$3(x + 1)^2 + 4(x + 1) - 4$

Explanation:

Step1: Expand $(x+1)^2$

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

Step2: Multiply by 3

$3(x^2 + 2x + 1) = 3x^2 + 6x + 3$

Step3: Expand $4(x+1)$

$4(x+1) = 4x + 4$

Step4: Combine all terms

$3x^2 + 6x + 3 + 4x + 4 - 4$

Step5: Combine like terms

$3x^2 + (6x+4x) + (3+4-4) = 3x^2 + 10x + 3$

Answer:

$3x^2 + 10x + 3$