Solve for: (7k-3) * (k^2-2k+7)

Expression: $\left( 7k-3 \right) \times \left( {k}^{2}-2k+7 \right)$

Distribute ${k}^{2}-2k+7$ onto $7k-3$

$7k \times \left( {k}^{2}-2k+7 \right)-3\left( {k}^{2}-2k+7 \right)$

Distribute $7k$ through the parentheses

$7{k}^{3}-14{k}^{2}+49k-3\left( {k}^{2}-2k+7 \right)$

Distribute $-3$ through the parentheses

$7{k}^{3}-14{k}^{2}+49k-3{k}^{2}+6k-21$

Collect like terms

$7{k}^{3}-17{k}^{2}+49k+6k-21$

Collect like terms

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