What is expand (sqrt(2x^2)-5x-sqrt(8))^2 ?

The solution to expand (sqrt(2x^2)-5x-sqrt(8))^2 is 27x^2-8x-10sqrt(2)x^2+20sqrt(2)x+8

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expand (sqrt(2x^2)-5x-sqrt(8))^2

expand

(2 x^{2} - 5 x - 8)^{2}

27 x^{2} - 8 x - 102 x^{2} + 202 x + 8

Solution steps

(2 x^{2} - 5 x - 8)^{2}

Apply exponent rule:

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

(2 x^{2} - 5 x - 8)^{2} = (2 x^{2} - 5 x - 8) (2 x^{2} - 5 x - 8)

= (2 x^{2} - 5 x - 8) (2 x^{2} - 5 x - 8)

Distribute parentheses

= 2 x^{2} 2 x^{2} + 2 x^{2} (- 5 x) + 2 x^{2} (- 8) - 5 x 2 x^{2} - 5 x (- 5 x) - 5 x (- 8) - 8 2 x^{2} - 8 (- 5 x) - 8 (- 8)

Simplify

2 x^{2} 2 x^{2} + 2 x^{2} (- 5 x) + 2 x^{2} (- 8) - 5 x 2 x^{2} - 5 x (- 5 x) - 5 x (- 8) - 8 2 x^{2} - 8 (- 5 x) - 8 (- 8) : 27 x^{2} - 8 x - 102 x^{2} + 202 x + 8

= 27 x^{2} - 8 x - 102 x^{2} + 202 x + 8

\frac{7 x ^{2} - 9 x + 4}{( x - 1 ) ( x ^{2} + 2 )}

\frac{6 - 2 x}{3}

(1 + e^{- 2 t})^{2}

\frac{10}{3} x

3 (e^{x} - e^{- x})

What is expand (sqrt(2x^2)-5x-sqrt(8))^2 ?
The solution to expand (sqrt(2x^2)-5x-sqrt(8))^2 is 27x^2-8x-10sqrt(2)x^2+20sqrt(2)x+8