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

The solution to expand 3(x+2/3)^2 is (9x^2+12x+4)/3

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expand 3(x+2/3)^2

expand

3 (x + \frac{2}{3})^{2}

\frac{9 x ^{2} + 12 x + 4}{3}

Solution steps

3 (x + \frac{2}{3})^{2}

Apply Perfect Square Formula:

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

(x + \frac{2}{3})^{2} = x^{2} + 2 x \frac{2}{3} + (\frac{2}{3})^{2}

= 3 (x^{2} + 2 x \frac{2}{3} + (\frac{2}{3})^{2})

Simplify

x^{2} + 2 x \frac{2}{3} + (\frac{2}{3})^{2} : \frac{9 x ^{2} + 12 x + 4}{9}

= 3 \cdot \frac{9 x ^{2} + 12 x + 4}{9}

Simplify

3 \cdot \frac{9 x ^{2} + 12 x + 4}{9} : \frac{9 x ^{2} + 12 x + 4}{3}

= \frac{9 x ^{2} + 12 x + 4}{3}

c^{\frac{1}{3}} (c^{\frac{1}{3}} + c^{\frac{2}{3}}) - 1

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

e^{x} (5 x^{2} + 3 x + 1)

a s^{2} (s^{2} + 4) + b s (s^{2} + 4) + c (s^{2} + 4) + s^{3} (d s + e)

((x^{2} + 1) d y - (x y - 3 x) d x = 0) \cdot (- 1)