What is expand (3k^2-7k-3)(6k^2-6k-4) ?

The solution to expand (3k^2-7k-3)(6k^2-6k-4) is 18k^4-60k^3+12k^2+46k+12

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expand (3k^2-7k-3)(6k^2-6k-4)

expand

(3 k^{2} - 7 k - 3) (6 k^{2} - 6 k - 4)

18 k^{4} - 60 k^{3} + 12 k^{2} + 46 k + 12

Solution steps

(3 k^{2} - 7 k - 3) (6 k^{2} - 6 k - 4)

Distribute parentheses

= 3 k^{2} \cdot 6 k^{2} + 3 k^{2} (- 6 k) + 3 k^{2} (- 4) - 7 k \cdot 6 k^{2} - 7 k (- 6 k) - 7 k (- 4) - 3 \cdot 6 k^{2} - 3 (- 6 k) - 3 (- 4)

Simplify

3 k^{2} \cdot 6 k^{2} + 3 k^{2} (- 6 k) + 3 k^{2} (- 4) - 7 k \cdot 6 k^{2} - 7 k (- 6 k) - 7 k (- 4) - 3 \cdot 6 k^{2} - 3 (- 6 k) - 3 (- 4) : 18 k^{4} - 60 k^{3} + 12 k^{2} + 46 k + 12

= 18 k^{4} - 60 k^{3} + 12 k^{2} + 46 k + 12

\frac{64 \cdot 2 \cdot ( \frac{1}{4} ) ^{2}}{2 ^{\frac{3}{2}}}

- 6 x^{3} - 10 x^{2} - 12 x - 20

(- 10 x^{5} - 6 x - 13 x^{4}) - (- 10 x^{4} - x^{5} - 5 x^{3})

2 sin (θ) cos (θ)

What is expand (3k^2-7k-3)(6k^2-6k-4) ?
The solution to expand (3k^2-7k-3)(6k^2-6k-4) is 18k^4-60k^3+12k^2+46k+12