Simplify x^2(-7x^2+5)

$x^{2} (- 7 x^{2} + 5)$

Simplify by multiplying through.

Apply the distributive property.

$x^{2} (- 7 x^{2}) + x^{2} \cdot 5$

Reorder.

Rewrite using the commutative property of multiplication.

$- 7 x^{2} x^{2} + x^{2} \cdot 5$

Move $5$ to the left of $x^{2}$ .

$- 7 x^{2} x^{2} + 5 \cdot x^{2}$

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

Move $x^{2}$ .

$- 7 (x^{2} x^{2}) + 5 \cdot x^{2}$

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

$- 7 x^{2 + 2} + 5 \cdot x^{2}$

Add $2$ and $2$ .

$- 7 x^{4} + 5 \cdot x^{2}$

$- 7 x^{4} + 5 x^{2}$