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

The solution to expand 3(3x^2+2x-5)^2 is 27x^4+36x^3-78x^2-60x+75

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

expand

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

27 x^{4} + 36 x^{3} - 78 x^{2} - 60 x + 75

Solution steps

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

(3 x^{2} + 2 x - 5)^{2} = 9 x^{4} + 12 x^{3} - 26 x^{2} - 20 x + 25

= 3 (9 x^{4} + 12 x^{3} - 26 x^{2} - 20 x + 25)

Distribute parentheses

= 3 \cdot 9 x^{4} + 3 \cdot 12 x^{3} + 3 (- 26 x^{2}) + 3 (- 20 x) + 3 \cdot 25

Apply minus-plus rules

+ (- a) = - a

= 3 \cdot 9 x^{4} + 3 \cdot 12 x^{3} - 3 \cdot 26 x^{2} - 3 \cdot 20 x + 3 \cdot 25

Simplify

3 \cdot 9 x^{4} + 3 \cdot 12 x^{3} - 3 \cdot 26 x^{2} - 3 \cdot 20 x + 3 \cdot 25 : 27 x^{4} + 36 x^{3} - 78 x^{2} - 60 x + 75

= 27 x^{4} + 36 x^{3} - 78 x^{2} - 60 x + 75

\frac{( 1 - 2 y ) ^{2}}{2}

11 (10 + 3)

(1 - cos (3 x))^{2}

\frac{x + 2}{2 - x - 12} + \frac{x - 1}{2 + 2 x}

t^{2} e^{4 t^{5}} (3 - 20 t^{5} - 40 t^{2})

What is expand 3(3x^2+2x-5)^2 ?
The solution to expand 3(3x^2+2x-5)^2 is 27x^4+36x^3-78x^2-60x+75