What is expand-3(2a^2-5a-4)^2 ?

The solution to expand-3(2a^2-5a-4)^2 is -12a^4+60a^3-27a^2-120a-48

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expand-3(2a^2-5a-4)^2

expand

- 3 (2 a^{2} - 5 a - 4)^{2}

- 12 a^{4} + 60 a^{3} - 27 a^{2} - 120 a - 48

Solution steps

- 3 (2 a^{2} - 5 a - 4)^{2}

(2 a^{2} - 5 a - 4)^{2} = 4 a^{4} - 20 a^{3} + 9 a^{2} + 40 a + 16

= - 3 (4 a^{4} - 20 a^{3} + 9 a^{2} + 40 a + 16)

Distribute parentheses

= (- 3) \cdot 4 a^{4} + (- 3) (- 20 a^{3}) + (- 3) \cdot 9 a^{2} + (- 3) \cdot 40 a + (- 3) \cdot 16

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= - 3 \cdot 4 a^{4} + 3 \cdot 20 a^{3} - 3 \cdot 9 a^{2} - 3 \cdot 40 a - 3 \cdot 16

Simplify

- 3 \cdot 4 a^{4} + 3 \cdot 20 a^{3} - 3 \cdot 9 a^{2} - 3 \cdot 40 a - 3 \cdot 16 : - 12 a^{4} + 60 a^{3} - 27 a^{2} - 120 a - 48

= - 12 a^{4} + 60 a^{3} - 27 a^{2} - 120 a - 48

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What is expand-3(2a^2-5a-4)^2 ?
The solution to expand-3(2a^2-5a-4)^2 is -12a^4+60a^3-27a^2-120a-48