Subtract polynomials: $11 x^{2} + 2 x - 10$ , $14 x^{2} - 7 x - 5$ .

Answer

$(11 x^{2} + 2 x - 10) - (14 x^{2} - 7 x - 5) = - 3 x^{2} + 9 x - 5$

Explanation

Step 1: Write second polynomial below the first one. Making sure like terms are lined up.

- 11 x^{2} 14 x^{2} 2 x - 7 x - 10 - 5

Step 2: Change ALL the signs in the second row.

- 11 x^{2} - 14 x^{2} 2 x 7 x - 10 5

Step 3: Combine like terms (add each column):

- 11 x^{2} - 14 x^{2} 25 x^{2} 2 x 7 x - 5 x - 10 5 - 15

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Subtract polynomials: 11x2+2x−10 , 14x2−7x−5.

(11x2+2x−10)−(14x2−7x−5)=−3x2+9x−5

Subtract polynomials: $11 x^{2} + 2 x - 10$ , $14 x^{2} - 7 x - 5$ .

$(11 x^{2} + 2 x - 10) - (14 x^{2} - 7 x - 5) = - 3 x^{2} + 9 x - 5$