# Calculate: 3x^2-(x^2+1-x * (x-(2x-1)))+2

## Expression: $3{x}^{2}-\left( {x}^{2}+1-x \times \left( x-\left( 2x-1 \right) \right) \right)+2$

When there is a $-$ in front of an expression in parentheses, change the sign of each term of the expression and remove the parentheses

$3{x}^{2}-\left( {x}^{2}+1-x \times \left( x-2x+1 \right) \right)+2$

Collect like terms

$3{x}^{2}-\left( {x}^{2}+1-x \times \left( -x+1 \right) \right)+2$

Distribute $-x$ through the parentheses

$3{x}^{2}-\left( {x}^{2}+1+{x}^{2}-x \right)+2$

Collect like terms

$3{x}^{2}-\left( 2{x}^{2}+1-x \right)+2$

When there is a $-$ in front of an expression in parentheses, change the sign of each term of the expression and remove the parentheses

$3{x}^{2}-2{x}^{2}-1+x+2$

Collect like terms

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

Calculate the sum

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

Use the commutative property to reorder the terms

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

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