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Add $$ \left(4.9 a^{3}+3.2 a^{2}-5.1 a\right)+\left(2.1 a^{2}-3.7 a+4.6\right) $$
Hi. Today we're determining the inverse, like last transform before over s squared. Plus nine. Uh, Now, you can write this as the likewise transform off four of a three times three over Escalated plus nine and you'll recognize this term at the last blast. Transform off sign of three t de four er the function for over three. Sign three t has a lap last transform, which is this time.
Where the problem is to divide 49 plus 16 b plus two b squared by two b plus four. I know that these are the 416 people to be squared is going from lowest to highest order of degree. When we're dividing, we want to go from greatest to lowest. It's going to rearrange this, and I'm sorry. My sixes looks so much like bees. At 16 b we're in. Divide that by two B plus. For to be a times B, you need to be squared and four times be. It's just for B. Prince sees minus sign. Equal bar, I think should always use Prince sees to be squared minds to be squared to zero 16 b minus four b is positive. 12 b Bring down the 49 to be times six is 12 B and four times six is 24 parentheses, minus sign. Equal bar, 12 units. 12 E zero 49 minus 24 is 20 five 25 degree zero To be his degree once. There's no way to multiply to be times some term greater degree greater than or equal to zero and get 25. So we're done we just need to write it as a expression with a remainder. So our solution is be plus six plus 25 over too e plus for which we have towards a fraction, because we we're unable to multiply to be four times something to you. 25 25. It's a portion of our divisor to B plus for we.
Right. Hey, guys. So this is a subtraction. Right? Because these two numbers have opposite signs. Okay, So I want you guys to answer this question. So which number has a larger absolute value? That would be negative. 4.9. Right. Okay, so last. Subtract 3.27 from 4.9. Okay. And then don't forget to attack this negative sign to the final answer. Why? So? Because again, negative 4.9 has to you larger Ashton value of the two. So that's why it's like the domineering number that we have to fall. Okay, so then our final answer should be negative. 1.63 All right. Okay. Great job, everyone. Thank you so much for listening.
P. Over P. Plus seven equals 98 over P squared minus 49 plus eight. So factoring the denominator here I get P. Plus seven P. Minus seven. So I already have half of that here. So my LCD is going to be P. Plus 70 minus seven. So when I take my first fraction times my L. C. D. I will get P. Times P minus seven equals 98 plus eight times. And I'm going to use the ian factored form P squared minus 49. So this when I distribute I get peace where minus seven P. It was 98 plus eight P. Square minus 49 times eight 3 92. So I'm going to subtract my piece squared and add my seven P. So now this side equals zero and now combining my leg terms and stuff I have a P minus one piece square eight P squared minus one piece square seven P. Squared plus seven P. And I have 98 minus 3 92. Yeah mm Which gives me minus 2 94. And now I'm going to um factor out a seven which gives me peace Square plus P minus 42 and all that equals zero. So now I'm going to factor what's in my parentheses? P times P. Gives me peace where my signs are different. What multiplies? Give me 42 subtracts to give me one. That would be seven and six larger number has to go with the sign of positive. So now either P minus six equals zero which means P equals six or P plus six plus seven equals zero which means P equals negative seven. So I go back up into my original equation and when I put in a negative seven into my equation I get negative seven over negative seven plus seven. Right here this equal zero. So I have negative 7/0 which is undefined. So negative seven cannot be a solution. Only P equals six is