Please answer all the step wise step factorise
1. a^2 - b^2 - 4a +4

2. x^2 -xy - 3x +2 +2y

3. 4x^2 - 4a^2 - 4a - 1

4. x^2 + 3x + 2 + ax + 2a

5. 7 ( x - 1/x )^2 + 15 ( x - 1/x ) + 2

6. 64 - 144x + 108x^2 - 27x^3

7. ab^2 - b ( a-c ) - c

8. p^2 - a ^2 - 2pr + r^2

Olga used 100 ounces of flour to make 225 muffins. how many ounces of flour will be used to make 300 muffins?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

47: 4 aisha changed 1.45 + 2.38 to 1.5 + 2.4 in order to estimate the sum. what estimation method did she use?