Answer: [tex]5x^{4}-37x^{3}-6x^{2} +41x-6[/tex]
Step-by-step explanation:
1. You must apply the Distributive property. You need to remember the product property of exponents: If you multiply powers with the same base, you must add the exponents. Them you have:
[tex]=5x^{4}-9x^{3}+7x-1-8x^{4}+4x^{2}-3x+2-(8x^{4}+28x^{3}+10x^{2}-35x-2x+7)\\=5x^{4}-9x^{3}+7x-1-8x^{4}+4x^{2}-3x+2-8x^{4}-28x^{3}-10x^{2}+35x+2x-7[/tex]
2. Now, you must add the like terms. Then, you obtain the following result:
[tex]=5x^{4}-37x^{3}-6x^{2} +41x-6[/tex]
