Simplify Subtract 2x^2-1 from 4x^2+2

Subtract $2 x^{2} - 1$ from $4 x^{2} + 2$

Step 1

Write the problem as a mathematical expression.

$4 x^{2} + 2 - (2 x^{2} - 1)$

Step 2

Simplify each term.

Apply the distributive property.

$4 x^{2} + 2 - (2 x^{2}) - - 1$

Multiply $2$ by $- 1$ .

$4 x^{2} + 2 - 2 x^{2} - - 1$

Multiply $- 1$ by $- 1$ .

$4 x^{2} + 2 - 2 x^{2} + 1$

$4 x^{2} + 2 - 2 x^{2} + 1$

Step 3

Simplify by adding terms.

Subtract $2 x^{2}$ from $4 x^{2}$ .

$2 x^{2} + 2 + 1$

Add $2$ and $1$ .

$2 x^{2} + 3$

$2 x^{2} + 3$

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