All categories

3 years ago

Simplify by using factoring: (2a+6b)(6b−2a)−(2a+6b)^2

Mathematics

1 answer:

GrogVix [38]3 years ago

8 0

Answer:

-8a(a+3b)

Step-by-step explanation:

(2a+6b)(6b−2a)−(2a+6b)^2

(2a+6b) {(6b−2a)−(2a+6b)(2a+6b)}

2(a+3b) (6b-2a-2a-6b)

2(a+3b) (-4a)

-2(a+3b) x 4a

-2 x 4a (a+3b)

-8a(a+3b)

You might be interested in

Which is the line shown in the figure?

Step2247 [10]

I believe the line shows in XZ because the line segment extends through and past points X and Z :)

3 0

4 years ago

Read 2 more answers

Find the value of the expression below<br> 8(15-4)/4^2-5

irinina [24]

Reduce the expression, if possible, by cancelling the common factors.

Answer:
8

3 0

3 years ago

What is the value of 6/x+2x,when x=3

fenix001 [56]

Answer:

Step-by-step explanation:

6/3 + 2 x 3

6/3 + 6

2 + 6=8

6 0

3 years ago

Read 2 more answers

Suppose you earn 3% on a $1,200 deposit for 5 years. Explain how the simple interest is affected if the rate is increased by 1%.

coldgirl [10]

$\bf ~~~~~~ \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &5
\end{cases}
\\\\\\
I=1200(0.03)(5)\implies \boxed{I=180}\\\\
-------------------------------$

$\bf ~~~~~~ \textit{Simple Interest Earned increased by 1\%}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
t=years\to &5
\end{cases}
\\\\\\
I=1200(0.04)(5)\implies \boxed{I =240}\\\\
-------------------------------$

$\bf ~~~~~~ \textit{Simple Interest Earned increased by 1 year}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &6
\end{cases}
\\\\\\
I=1200(0.03)(6)\implies \boxed{I =216}$

8 0

4 years ago

I need to find cos z please

Svetach [21]

Answer: 61.92751306414704

Step-by-step explanation:

6 0

4 years ago