Subtract polynomials: $x^{2} + 8 - 4 x$ , $8 + x^{2} - 7 x$ .

Answer

$(x^{2} + 8 - 4 x) - (8 + x^{2} - 7 x) = 3 x$

Explanation

Step 1: First we have to write polynomials in descending order.

P (x) Q (x) = x^{2} - 4 x + 8 = x^{2} - 7 x + 8

Step 2: Write second polynomial below the first one. Making sure like terms are lined up.

- x^{2} x^{2} - 4 x - 7 x 88

Step 3: Change ALL the signs in the second row.

- x^{2} - x^{2} - 4 x 7 x 8 - 8

Step 4: Combine like terms (add each column):

- x^{2} - x^{2} 2 x^{2} - 4 x 7 x - 11 x 8 - 8 16

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Subtract polynomials: x2+8−4x , 8+x2−7x.

(x2+8−4x)−(8+x2−7x)=3x

Subtract polynomials: $x^{2} + 8 - 4 x$ , $8 + x^{2} - 7 x$ .

$(x^{2} + 8 - 4 x) - (8 + x^{2} - 7 x) = 3 x$