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

The solution to expand (7k-3)(k^2-2k+7) is 7k^3-17k^2+55k-21

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expand (7k-3)(k^2-2k+7)

expand

(7 k - 3) (k^{2} - 2 k + 7)

7 k^{3} - 17 k^{2} + 55 k - 21

Solution steps

(7 k - 3) (k^{2} - 2 k + 7)

Distribute parentheses

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

Simplify

7 k k^{2} + 7 k (- 2 k) + 7 k \cdot 7 - 3 k^{2} - 3 (- 2 k) - 3 \cdot 7 : 7 k^{3} - 17 k^{2} + 55 k - 21

= 7 k^{3} - 17 k^{2} + 55 k - 21

(- w^{3} + 8 w^{2} - 3 w) + (- 8 w^{2} + w + 3)

(x - 3) (x - 8)

\frac{135}{180}

4 \times (- 3)

(- 2 - 7 i) (- 12 + 6 i)

What is expand (7k-3)(k^2-2k+7) ?
The solution to expand (7k-3)(k^2-2k+7) is 7k^3-17k^2+55k-21