Which polynomial correctly combines the like terms and puts the given polynomial in standard form? –5x3y3 + 8x4y2 – xy5 – 2x2y4 + 8x6 + 3x2y4 – 6xy5 A) –7xy5 + 5x2y4 – 5x3y3 + 8x4y2 + 8x6 B) 5xy5 + 8x4y2 + x2y4 – 5x3y3 + 8x6 C) 8x6 + 5xy5 + 8x4y2 + x2y4 – 5x3y3 D) 8x6 + 8x4y2 – 5x3y3 + x2y4 – 7xy5

2 answers
Question:

Which polynomial correctly combines the like terms and puts the given polynomial in standard form?
–5x3y3 + 8x4y2 – xy5 – 2x2y4 + 8x6 + 3x2y4 – 6xy5
A) –7xy5 + 5x2y4 – 5x3y3 + 8x4y2 + 8x6
B) 5xy5 + 8x4y2 + x2y4 – 5x3y3 + 8x6
C) 8x6 + 5xy5 + 8x4y2 + x2y4 – 5x3y3
D) 8x6 + 8x4y2 – 5x3y3 + x2y4 – 7xy5

Answers

Answer:Option D is correct that is [tex]8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5[/tex] Step-by-step explanation:we have to combine  the like terms Like terms means the terms with same degree so,for [tex]-5x^3y^3[/tex] has no like term since, x and y are of degree 3.[tex]8x^4y^2[/tex] we have no like term again since there is no other x of degree 4[tex]-xy^5[/tex] we have a like term [tex]-6xy^5[/tex] [tex]-2x^2y^4[/tex] we have a like term [tex]3x^2y^4[/tex][tex]8x^6[/tex]we have no like term since, there is no other x of degree 6Now, combining the like terms we will get [tex]-5x^3y^3+8x^4y^2-xy^5-6xy^5-2x^2y^4+3x^2y^4+8x^6[/tex]After simplification we will get[tex]-5x^3y^3+8x^4y^2-xy^5-6xy^5-2x^2y^4+3x^2y^4+8x^6[/tex] Rearranging the terms we will get [tex]8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5[/tex]

–5x3y3 + 8x4y2 – xy5 – 2x2y4 + 8x6 + 3x2y4 – 6xy5 Answer choice:D) 8x6 + 8x4y2 – 5x3y3 + x2y4 – 7xy5

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