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xxMikexx [17]
3 years ago
10

Subtract the polynomials then simplify: 5x^5+4x^2-2x^6+6x^4 and 10x^2+10x^3+8x^6-9x^4

Mathematics
2 answers:
Jet001 [13]3 years ago
8 0

Answer:

\large\boxed{-10x^6+5x^5+15x^4-10x^3-6x^2}

Step-by-step explanation:

(5x^5+4x^2-2x^6+6x^4)-(10x^2+10x^3+8x^6-9x^4)\\\\=5x^5+4x^2-2x^6+6x^4-10x^2-10x^3-8x^6-(-9x^4)\\\\=5x^5+4x^2-2x^6+6x^4-10x^2-10x^3-8x^6+9x^4\\\\\text{combine like terms}\\\\=(-2x^6-8x^6)+5x^5+(6x^4+9x^4)-10x^3+(4x^2-10x^2)\\\\=-10x^6+5x^5+15x^4-10x^3-6x^2

timurjin [86]3 years ago
5 0

Answer:

-10x^6+5x^5+15x^4-10x^3-6x^2.

Step.by-step explanation:

5x^5+4x^2-2x^6+6x^4 -  (10x^2+10x^3+8x^6-9x^4).

First distribute the negative over the parentheses:

=5x^5+4x^2-2x^6+6x^4 - 10x^2-10x^3-8x^6+9x^4

Now bring like terms together:

= -2x^6-8x^6+5x^5+6x^4+9x^4-10x^3+4x^2-10x^2

=  -10x^6+5x^5+ 15x^4-10x^3-6x^2.

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