# Chapter 5 - Section 5.3 - Addition and Subtraction of Polynomials - Exercise - Page 221: 57

$$8x^5-18x^4+5x^2+1.$$

#### Work Step by Step

We subtract the $x^5$-terms as follows $$12x^5-4x^5=8x^5$$ then subtract the $x^4$-terms as follows $$-13x^4-5x^4=-18x^4$$ then subtract the $x^2$-terms as follows $$7x^2-2x^2=5x^2$$ then subtract the constant terms as follows $$0+1=1$$ Hence the result is $$8x^5-18x^4+5x^2+1.$$

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