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

The solution to expand (3x^2+2x-2)^2 is 9x^4+12x^3-8x^2-8x+4

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

expand

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

9 x^{4} + 12 x^{3} - 8 x^{2} - 8 x + 4

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(3 x^{2} + 2 x - 2)^{2} = (3 x^{2} + 2 x - 2) (3 x^{2} + 2 x - 2)

= (3 x^{2} + 2 x - 2) (3 x^{2} + 2 x - 2)

Distribute parentheses

= 3 x^{2} \cdot 3 x^{2} + 3 x^{2} \cdot 2 x + 3 x^{2} (- 2) + 2 x \cdot 3 x^{2} + 2 x \cdot 2 x + 2 x (- 2) - 2 \cdot 3 x^{2} - 2 \cdot 2 x - 2 (- 2)

Simplify

3 x^{2} \cdot 3 x^{2} + 3 x^{2} \cdot 2 x + 3 x^{2} (- 2) + 2 x \cdot 3 x^{2} + 2 x \cdot 2 x + 2 x (- 2) - 2 \cdot 3 x^{2} - 2 \cdot 2 x - 2 (- 2) : 9 x^{4} + 12 x^{3} - 8 x^{2} - 8 x + 4

= 9 x^{4} + 12 x^{3} - 8 x^{2} - 8 x + 4

(\frac{3}{4})^{2} - (1 + \frac{1}{3})^{- 2}

(x + 1)^{7}

8 (r + 5)

2 - 2 i - (5 - 7 i)

\frac{3}{4} \times 24

What is expand (3x^2+2x-2)^2 ?
The solution to expand (3x^2+2x-2)^2 is 9x^4+12x^3-8x^2-8x+4