document.write( "Question 85763: Combine Like Terms:15n+6n^2-3n^2+4n+8+7 \n" ); document.write( "
Algebra.Com's Answer #61964 by Socom491(19)![]() ![]() ![]() You can put this solution on YOUR website! Okay,\r \n" ); document.write( "\n" ); document.write( "We are given the polynomial of 15n+6n^2-3n^2+4n+8+7\r \n" ); document.write( "\n" ); document.write( "When we add like terms, that means we add numbers that have the same ending to them. For instance 2n and 3n are like terms because they both have an n attached to them. 2x^2 and 5x^2 are like terms because they both have x^2 attached to them. However, 2x and 3y would not be like terms, because they do not have the same thing attached to them. Similarly, 5x^2 and 6x^3 would not be like terms because even though they have x attached to them, they don't have the same power. When we add like terms, we take all those terms that have the same endings and add them together.\r \n" ); document.write( "\n" ); document.write( "Now lets look at your problem 15n+6n^2-3n^2+4n+8+7. \n" ); document.write( "First, lets take the 15n, it has an n attached to it. There is also an n attached to a 4, so we add those together. Now we rewrite the problem with those two terms combined.\r \n" ); document.write( "\n" ); document.write( "19n+6n^2-3n^2+8+7 ( notice how I took out the 4n, because it is now added with the 15n to make 19n)\r \n" ); document.write( "\n" ); document.write( "ok, now we look to the next term, 6n^2, is there another number that has n^2 attached to it? Yes there is 3n^2, however if you look at the problem, we have to subtract. So we now have to subtract 3n^2 from 6n^2 and rewrite the problem\r \n" ); document.write( "\n" ); document.write( "19n+3n^2+8+7\r \n" ); document.write( "\n" ); document.write( "Now lets look at the next number 8. It has nothing attached to it, so any other number that doesn't have anything attached to it is a like term. 7 has nothing attached so its a like term and the problem says we have to add them. So lets add 7+8 and rewrite the problem with our new changes.\r \n" ); document.write( "\n" ); document.write( "19n+3n^2+15\r \n" ); document.write( "\n" ); document.write( "We now have no more terms and have come to the end of the problem and thus we are finished. The answer is: 19n+3n^2=15\r \n" ); document.write( "\n" ); document.write( "Hope this helped! \n" ); document.write( " |