Question

Simplify the following polynomials by combining like terms.1. 5xy + 7xy2. 4z4 – 2z + z + 1 – 53. 8p6 – 2p6 – 3p + 4p + 64. (12ab – 3bc) – (13ab + 4bc)5. (x5 – 5x + 1) – (x5 – 6x + 2)please number answer 1 to 5

Answer 1

Answer with Explanation: We have to simplify the polynomials (1) to (5) one by one, the simplification is shown as follows, step by step:

Simplification for (1):

$(1)\rightarrow5xy+7xy\Rightarrow(5+7)xy\Rightarrow12xy$

Simplification for (2):

$(2)\rightarrow4z^4-2z+z+1-5\Rightarrow4z^4-z-4$

Simplification for (3):

$(3)\rightarrow8p^6-2p^6-3p+4p+6\Rightarrow6p^6+p+6$

Simplification for (4):

$\begin{gathered} (4)\rightarrow(12ab-3bc)-(13ab+4bc)\Rightarrow12ab-3bc-13ab-4bc\Rightarrow-ab-7bc \\ \end{gathered}$

Simplification for (5):

$(5)\rightarrow(x^5-5x+1)-(x^5-6x+2)\Rightarrow x^5-5x+1-x^5+6x-2\Rightarrow x-1$