Given: (a+b)3 ( a + b ) 3

prove: (a+b)3=a3+3a2b+3ab2+b3

(
a
+
b
)
3
=
a
3
+
3
a
2
b
+
3
a
b
2
+
b
3

statements reasons
1 (a+b)3
(
a
+
b
)
3
given
2 (a+b)(a+b)(a+b)
(
a
+
b
)
(
a
+
b
)
(
a
+
b
)
rewrite the power as a product of the base.
3 (a+b)(a2+ab+ab+b2)
(
a
+
b
)
(
a
2
+
a
b
+
a
b
+
b
2
)
distributive property
4 (a+b)(a2+2ab+b2)
(
a
+
b
)
(
a
2
+
2
a
b
+
b
2
)
combine like terms.
5 _[blank]_ distributive property
6 a3+3a2b+3ab2+b3
a
3
+
3
a
2
b
+
3
a
b
2
+
b
3
combine like terms.

What is x and y intercepts for y=x+7

Suppose that sahil knows that 45 people with ages of 18 to 29 voted. without using a calculator, he quickly says then 135 people with ages of 30to 49 voted. is he correct? how might sohil have come up with his answer so quickly?

For a science project, a high school research team conducted a survey of local air temperatures. based on the results of the survey, the found that the average temperatures were around 10 degrees higher than expected. this result was wrong. the trouble with the survey was that most of the locations were exposed to direct sunlight and located over asphalt or sand, which resulted in higher temperatures than normal. this is a classic example of an error in which phase of inferential statistics?