Simplify x^2(-10x^2+1)

$x^{2} (- 10 x^{2} + 1)$

Apply the distributive property.

$x^{2} (- 10 x^{2}) + x^{2} \cdot 1$

Simplify the expression.

Rewrite using the commutative property of multiplication.

$- 10 x^{2} x^{2} + x^{2} \cdot 1$

Multiply $x^{2}$ by $1$ .

$- 10 x^{2} x^{2} + x^{2}$

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

Move $x^{2}$ .

$- 10 (x^{2} x^{2}) + x^{2}$

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

$- 10 x^{2 + 2} + x^{2}$

Add $2$ and $2$ .

$- 10 x^{4} + x^{2}$