What is expand (3x^2-5x-2)^2 ?

The solution to expand (3x^2-5x-2)^2 is 9x^4-30x^3+13x^2+20x+4

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expand (3x^2-5x-2)^2

expand

(3 x^{2} - 5 x - 2)^{2}

9 x^{4} - 30 x^{3} + 13 x^{2} + 20 x + 4

Solution steps

(3 x^{2} - 5 x - 2)^{2}

Apply exponent rule:

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

(3 x^{2} - 5 x - 2)^{2} = (3 x^{2} - 5 x - 2) (3 x^{2} - 5 x - 2)

= (3 x^{2} - 5 x - 2) (3 x^{2} - 5 x - 2)

Distribute parentheses

= 3 x^{2} \cdot 3 x^{2} + 3 x^{2} (- 5 x) + 3 x^{2} (- 2) - 5 x \cdot 3 x^{2} - 5 x (- 5 x) - 5 x (- 2) - 2 \cdot 3 x^{2} - 2 (- 5 x) - 2 (- 2)

Simplify

3 x^{2} \cdot 3 x^{2} + 3 x^{2} (- 5 x) + 3 x^{2} (- 2) - 5 x \cdot 3 x^{2} - 5 x (- 5 x) - 5 x (- 2) - 2 \cdot 3 x^{2} - 2 (- 5 x) - 2 (- 2) : 9 x^{4} - 30 x^{3} + 13 x^{2} + 20 x + 4

= 9 x^{4} - 30 x^{3} + 13 x^{2} + 20 x + 4

\frac{- 30}{6}

(5 m - 4 n)^{3}

10 c h - 35 h

\frac{8 x}{16 x ^{4}}

122 - 3 \cdot 4^{2} + 4 - 3

What is expand (3x^2-5x-2)^2 ?
The solution to expand (3x^2-5x-2)^2 is 9x^4-30x^3+13x^2+20x+4