2 years ago

How do i expand (3x+5)^2

Mathematics

2 answers:

shepuryov [24]2 years ago

8 0

I don't know how you expand it but the answer is 3x + 25 unless that's expanding.

alisha [4.7K]2 years ago

3 0

(3x + 5)^2 expands into two binomials: (3x + 5)(3x +5)

from there, you foil them:
(3x + 5)(3x + 5)
multiply the first terms ... 9x^2
the inside terms ... 9x^2 + 15x
outside terms ... 9x^2 + 15x + 15x
last terms ... 9x^2 + 15x + 15x + 25
then add like terms ... 9x^2 + 30x + 25

that's the expanded binomial!!

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Cable company a increase their rates from 98 a month to 110.92 a month.what is the percents of increase?

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So from 98 to 110.92 is just 12.92 extra bucks.

if we take 98 to be the 100%, what is 12.92 off of it in percentage?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
98&100\\
12.92&p
\end{array}\implies \cfrac{98}{12.92}=\cfrac{100}{p}\implies p=\cfrac{12.92\cdot 100}{98}$

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