What is expand 2(5x^2+3x-6)^2 ?

The solution to expand 2(5x^2+3x-6)^2 is 50x^4+60x^3-102x^2-72x+72

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expand 2(5x^2+3x-6)^2

expand

2 (5 x^{2} + 3 x - 6)^{2}

50 x^{4} + 60 x^{3} - 102 x^{2} - 72 x + 72

Solution steps

2 (5 x^{2} + 3 x - 6)^{2}

(5 x^{2} + 3 x - 6)^{2} = 25 x^{4} + 30 x^{3} - 51 x^{2} - 36 x + 36

= 2 (25 x^{4} + 30 x^{3} - 51 x^{2} - 36 x + 36)

Distribute parentheses

= 2 \cdot 25 x^{4} + 2 \cdot 30 x^{3} + 2 (- 51 x^{2}) + 2 (- 36 x) + 2 \cdot 36

Apply minus-plus rules

+ (- a) = - a

= 2 \cdot 25 x^{4} + 2 \cdot 30 x^{3} - 2 \cdot 51 x^{2} - 2 \cdot 36 x + 2 \cdot 36

Simplify

2 \cdot 25 x^{4} + 2 \cdot 30 x^{3} - 2 \cdot 51 x^{2} - 2 \cdot 36 x + 2 \cdot 36 : 50 x^{4} + 60 x^{3} - 102 x^{2} - 72 x + 72

= 50 x^{4} + 60 x^{3} - 102 x^{2} - 72 x + 72

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What is expand 2(5x^2+3x-6)^2 ?
The solution to expand 2(5x^2+3x-6)^2 is 50x^4+60x^3-102x^2-72x+72