What is expand 3(3x^2+x+1)^2 ?

The solution to expand 3(3x^2+x+1)^2 is 27x^4+18x^3+21x^2+6x+3

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expand 3(3x^2+x+1)^2

expand

3 (3 x^{2} + x + 1)^{2}

27 x^{4} + 18 x^{3} + 21 x^{2} + 6 x + 3

Solution steps

3 (3 x^{2} + x + 1)^{2}

(3 x^{2} + x + 1)^{2} = 9 x^{4} + 6 x^{3} + 7 x^{2} + 2 x + 1

= 3 (9 x^{4} + 6 x^{3} + 7 x^{2} + 2 x + 1)

Distribute parentheses

= 3 \cdot 9 x^{4} + 3 \cdot 6 x^{3} + 3 \cdot 7 x^{2} + 3 \cdot 2 x + 3 \cdot 1

Simplify

3 \cdot 9 x^{4} + 3 \cdot 6 x^{3} + 3 \cdot 7 x^{2} + 3 \cdot 2 x + 3 \cdot 1 : 27 x^{4} + 18 x^{3} + 21 x^{2} + 6 x + 3

= 27 x^{4} + 18 x^{3} + 21 x^{2} + 6 x + 3

(e^{4 x} - 1) (36 - x^{2})

x^{4} x + 3

(4 + 3 i)^{4}

(1 + 5 sin (t)) (5 cos (t))

\frac{d}{d x} ((x - 2) (x - 7)^{3}) + 8

What is expand 3(3x^2+x+1)^2 ?
The solution to expand 3(3x^2+x+1)^2 is 27x^4+18x^3+21x^2+6x+3