$\bf x^4+xy^3+x^3+y^3\impliedby \textit{now let's do some grouping}
\\\\\\
(x^4+xy^3)~~+~~(x^3+y^3)\implies x(x^3+y^3)~~+~~(x^3+y^3)
\\\\\\
\stackrel{\stackrel{common}{factor}}{(x^3+y^3)}(x+1)\\\\
-------------------------------\\\\
\textit{now recall that }\qquad \qquad \textit{difference of cubes}
\\ \quad \\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
a^3-b^3 = (a-b)(a^2+ab+b^2)\\\\
-------------------------------\\\\
(x+y)(x^2-xy+y^2)(x+1)$

5 0

3 years ago

1/2 + 5/3 - 1<br>------------------<br> 3/4

Sav [38]

Hey there :)

$\frac{ \frac{1}{2}+ \frac{5}{3} -1 }{ \frac{3}{4} }$
↓ Is the same as
$\frac{1}{2} + \frac{5}{3} -1$ ÷ $\frac{3}{4}$

Since it is a division by fraction, we can multiply by what is called the reciprocal
( The attached picture might help you )
( $\frac{1}{2} + \frac{5}{3} - 1$ ) × $\frac{4}{3}$
↓ For this part, we need the common denominator, which is 6
$\frac{1(3)}{2(3)}+ \frac{5(2)}{32)} \frac{1(6)}{1(6)}$ × $\frac{4}{3}$

$\frac{3}{6}+ \frac{10}{6} - \frac{6}{6}$ × $\frac{4}{3}$
$\frac{7}{6}$ × $\frac{4}{3}$
$\frac{14}{9} = 1\frac{5}{9}$
↑
Your final answer

7 0

3 years ago

There are 20 cities in the County of Newton. Their populations are shown in the bar chart below. The average population of all t

blagie [28]

Answer:

The answer is C/85,000

Step-by-step explanation:

6 0

2 years ago