Simplify (10a^2-6ab+b^2)-(5a^2-2b^2)

$(10 a^{2} - 6 a b + b^{2}) - (5 a^{2} - 2 b^{2})$

Step 1

Simplify each term.

Apply the distributive property.

$10 a^{2} - 6 a b + b^{2} - (5 a^{2}) - (- 2 b^{2})$

Multiply $5$ by $- 1$ .

$10 a^{2} - 6 a b + b^{2} - 5 a^{2} - (- 2 b^{2})$

Multiply $- 2$ by $- 1$ .

$10 a^{2} - 6 a b + b^{2} - 5 a^{2} + 2 b^{2}$

Step 2

Simplify by adding terms.

Subtract $5 a^{2}$ from $10 a^{2}$ .

$5 a^{2} - 6 a b + b^{2} + 2 b^{2}$

Add $b^{2}$ and $2 b^{2}$ .

$5 a^{2} - 6 a b + 3 b^{2}$