Algebra Examples

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

Step 1

Apply the distributive property.

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

Step 2

Simplify the expression.

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Step 2.1

Rewrite using the commutative property of multiplication.

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

Step 2.2

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

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

Step 3

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

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Step 3.1

Move $x^{2}$ .

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

Step 3.2

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

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

Step 3.3

Add $2$ and $2$ .

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