Can someone 1. add or subtract as indicated. write the answer in descending order. (3n4 + 1) + (–8n4 + 3) – (–8n4 + 2) 2. write the number in standard notation: 6.5 × 10–7 3. translate from algebraic form to english form. (m – n)(m + n) 4. (–3t2u3)(5t7u8) = 5. complete the property of exponents. bn ⋅ bm = 6. divide the polynomials by using long division. (x3 – x2 – 2x + 14) ÷ (x – 1) 7. evaluate the rational function, if possible. m[y]=2y+5/y-7 , m[7] 8. factor out the greatest common factor. 30t2u + 12tu2 + 24tu

ANSWER TO QUESTION 1



Let us expand the parenthesis first.



This will simplify to,



ANSWER TO QUESTION 2

We want to write


in standard notation.

Let us simplify first to obtain,





In standard notation we have,





ANSWER TO QUESTION 3

This question requires us to write in words.

Subtract
from
and multiply the result by the sum of
and .

ANSWER TO QUESTION 4

We want to simplify



We use the laws of exponents to simplify the above expression.



Recall that,



This implies that,



This simplifies to,



ANSWER TO QUESTION 5.

We want to complete the property of exponents given by,



According to this product property of exponents,since the bases are the same we write down one base and add the exponents to obtain,



ANSWER TO QUESTION 6.

Please see attachment for the long division

ANSWER TO QUESTION 7.

We were given the expression,



This is a rational expression. The expression is not defined for


Therefore it is not possible to evaluate


Evaluating this will result in division by zero as shown below.




ANSWER TO QUESTION 8.

We want to factor the Greatest Common Factor out of

The greatest common factor is


We factor it to obtain,