Multiply (2n-3)*(n^2-4n+7)

$(2 n - 3) \cdot (n^{2} - 4 n + 7)$

Expand $(2 n - 3) (n^{2} - 4 n + 7)$ by multiplying each term in the first expression by each term in the second expression.

$2 n \cdot n^{2} + 2 n (- 4 n) + 2 n \cdot 7 - 3 n^{2} - 3 (- 4 n) - 3 \cdot 7$

Simplify terms.

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Simplify each term.

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Multiply $n$ by $n^{2}$ by adding the exponents.

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Move $n^{2}$ .

$2 (n^{2} n) + 2 n (- 4 n) + 2 n \cdot 7 - 3 n^{2} - 3 (- 4 n) - 3 \cdot 7$

Multiply $n^{2}$ by $n$ .

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Raise $n$ to the power of $1$ .

$2 (n^{2} n^{1}) + 2 n (- 4 n) + 2 n \cdot 7 - 3 n^{2} - 3 (- 4 n) - 3 \cdot 7$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2 n^{2 + 1} + 2 n (- 4 n) + 2 n \cdot 7 - 3 n^{2} - 3 (- 4 n) - 3 \cdot 7$

Add $2$ and $1$ .

$2 n^{3} + 2 n (- 4 n) + 2 n \cdot 7 - 3 n^{2} - 3 (- 4 n) - 3 \cdot 7$

Multiply $n$ by $n$ .

$2 n^{3} + 2 \cdot - 4 n^{2} + 2 n \cdot 7 - 3 n^{2} - 3 (- 4 n) - 3 \cdot 7$

Multiply $2$ by $- 4$ .

$2 n^{3} - 8 n^{2} + 2 n \cdot 7 - 3 n^{2} - 3 (- 4 n) - 3 \cdot 7$

Multiply $7$ by $2$ .

$2 n^{3} - 8 n^{2} + 14 n - 3 n^{2} - 3 (- 4 n) - 3 \cdot 7$

Multiply $- 4$ by $- 3$ .

$2 n^{3} - 8 n^{2} + 14 n - 3 n^{2} + 12 n - 3 \cdot 7$

Multiply $- 3$ by $7$ .

$2 n^{3} - 8 n^{2} + 14 n - 3 n^{2} + 12 n - 21$

Simplify by adding terms.

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Subtract $3 n^{2}$ from $- 8 n^{2}$ .

$2 n^{3} - 11 n^{2} + 14 n + 12 n - 21$

Add $14 n$ and $12 n$ .

$2 n^{3} - 11 n^{2} + 26 n - 21$

Multiply (2n-3)*(n^2-4n+7)