# Chapter 5 - Section 5.3 - Polynomials and Polynomial Functions - Exercise Set: 48

$-7y^{2}-3x$

#### Work Step by Step

We are asked to subtract $(8y^{2}+4x)$ from $(y^{2}+x)$. This is equivalent to $(y^{2}+x)-(8y^{2}+4x)$. To subtract two polynomials, add the opposite of the second polynomial to the first polynomial. $(y^{2}+x)+(-8y^{2}-4x)$ Next, we can combine like terms. $(y^{2}-8y^{2})+(x-4x)=-7y^{2}-3x$

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