Subtract 9x2−10x+1 from −2x2+4x−10

Question

Thomas White · Accepted Answer

Step 1  Subtract: 9x2−10x+1 from −2x2+4x−10 as follows.  −2x2+4x−10−(9x2−10x+1)  =−2x2+4x−10−9x2+10x−1  =−11x2+14x−11  Therefore, the obtained quadratic is −11x2+14x−11

Raymond Foley · Accepted Answer

Step 1
Based on the given conditions, formulate:

(- 2 x^{2} + 4 x - 10) - (9 x^{2} - 10 x + 1)

Remove the parentheses for addition or subtraction:

- 2 x^{2} + 4 x - 10 - 9 x^{2} + 10 x - 1

Reorder and gather like terms:

(- 2 x^{2} - 9 x^{2}) + (4 x + 10 x) + (- 10 - 1)

Collect coefficients for the like terms:

(- 2 - 9) x^{2} + (4 + 10) \times x + (- 10 - 1)

Calculate the sum or difference:

- 11 x^{2} + (4 + 10) \times x + (- 10 - 1)

Calculate the sum or difference:

- 11 x^{2} + 14 x + (- 10 - 1)

Calculate the sum or difference:

- 11 x^{2} + 14 x - 11

Answer:

= 11 x^{2} + 14 x - 11

RizerMix · Accepted Answer

Step 1 9x2−10x+1−(−2x2)+4x−10 The opposite of −2x2 is 2x2 9x2−10x+1+2x2+4x−10 Combine 9x2 and 2x2to get 11x2 11x2−10x+1+4x−10 Combine −10x and 4x to get −6x 11x2−6x+1−10 Subtract 10 from 1 to get -9 11x2−6x−9

Subtract 9x^{2}-10x+1 from -2x^{2}+4x-10

Answered question

Answer & Explanation

New Questions in Algebra I