Rewrite in Standard Form -2x^2(-5x^2+4x^3)

$- 2 x^{2} (- 5 x^{2} + 4 x^{3})$

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Simplify by multiplying through.

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Apply the distributive property.

$- 2 x^{2} (- 5 x^{2}) - 2 x^{2} (4 x^{3})$

Reorder.

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Rewrite using the commutative property of multiplication.

$- 2 \cdot - 5 (x^{2} x^{2}) - 2 x^{2} (4 x^{3})$

Rewrite using the commutative property of multiplication.

$- 2 \cdot - 5 (x^{2} x^{2}) - 2 \cdot 4 (x^{2} x^{3})$

Simplify each term.

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

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

$- 2 \cdot - 5 x^{2 + 2} - 2 \cdot 4 (x^{2} x^{3})$

Add $2$ and $2$ .

$- 2 \cdot - 5 x^{4} - 2 \cdot 4 (x^{2} x^{3})$

Multiply $- 2$ by $- 5$ .

$10 x^{4} - 2 \cdot 4 (x^{2} x^{3})$

Multiply $x^{2}$ by $x^{3}$ by adding the exponents.

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

$10 x^{4} - 2 \cdot 4 x^{2 + 3}$

Add $2$ and $3$ .

$10 x^{4} - 2 \cdot 4 x^{5}$

Multiply $- 2$ by $4$ .

$10 x^{4} - 8 x^{5}$

Rewrite in Standard Form -2x^2(-5x^2+4x^3)

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