## Thinking Mathematically (6th Edition)

$14x^{2}$ - 11
4($6x^{2}$ -3) - [2($5x^{2}$ - 1) + 1] Step 1: Drop parentheses and multiply 4 and 2with each term and change the sign of each term in parentheses: 4($6x^{2}$ -3)) = $24x^{2}$ -12 and 2($5x^{2}$ - 1)= $10x^{2}$ - 2 Step 2 Simplify inside brackets: -2+1 = -1 $24x^{2}$ -12- [$10x^{2}$ - 1] Step 3 drop brackets and change the sign of each term in brackets $24x^{2}$ -12- $10x^{2}$ + 1 Step 4: Group like terms($24x^{2}$ - $10x^{2}$ ) - 12+1 Step 6: Combine the like terms ($24x^{2}$ - $10x^{2}$ ) = $14x^{2}$ So, final solution $14x^{2}$ - 11