I'm timed!!! Please help me.

2 answers:

8 0

25x2-64

Step by step equation

Given Factor: factor 5x-8

We have to choose the expression out of given option that the difference squares of the factor of 5x-8

Using algebraic identity: a2-b2=(a+b)(a-b)
a difference squares is written mathematically as a2-b2
Since one factor is 5x-8
Using identity stated above other factor has been 5x+8
Thus(5x+8)(5x-8)
So it should be like this
(5x+8)(5x-8)=(5x)2-8^2=25x2-64

Brums [2.3K]3 years ago

5 0

Answer:

ok so differnce of 2 perfect ssquares are

x^2-y^2=(x-y)(x+y)

we are given

one factor is 5x-8

remember that all you do is square both terms individually to get them

(5x)^2=25x^2

8^2=64

they are difference so

25x^2-64 is answer

You might be interested in

What is the solution of the system? Use elimination. 3x – 4y = 9 –3x + 2y = 9

klio [65]

We are given with two equations and is asked to determine the solution of the system of linear equation. via elimination, we add the two equations to eliminate 3x, this means y should be equal to 9 and from the first equation, x should also be equal to 9, too

4 0

3 years ago

Help me I don’t understand it?

photoshop1234 [79]

let's do 1, 5, 6, 10 and 13.

well, the denominator is the same on each, so we simply have to look at the numerator, who is larger 3 or 5? 3 < 5, 3 is less than 5, so then........ $\bf \cfrac{3}{12}$

$\bf \begin{cases} \cfrac{2}{4}\implies \cfrac{1}{2} \\\\\\ \cfrac{10}{20}\implies \cfrac{1}{2} \end{cases}\qquad \implies \cfrac{2}{4}=\cfrac{10}{20}\implies \cfrac{1}{2}=\cfrac{1}{2}$

we can make both denominators the same if we simply <u>multiply each fraction by the other's denominator</u>.

$\bf \begin{cases} \cfrac{1}{4}\cdot \cfrac{13}{13}\implies \cfrac{13}{52} \\\\\\ \cfrac{4}{13}\cdot \cfrac{4}{4}\implies \cfrac{16}{52} \end{cases}\qquad \implies \cfrac{13}{52}$

10)

we'll convert the mixed fractions to improper fractions first, then make their denominator the same just like we did in 6).

$\bf \stackrel{mixed}{4\frac{1}{7}}\implies \cfrac{4\cdot 7+1}{7}\implies \stackrel{improper}{\cfrac{29}{7}}~\hfill \stackrel{mixed}{3\frac{3}{18}}\implies \cfrac{3\cdot 18+3}{18}\implies \stackrel{improper}{\cfrac{57}{18}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} \cfrac{29}{7}\cdot \cfrac{18}{18}\implies \cfrac{522}{126} \\\\\\ \cfrac{57}{18}\cdot \cfrac{7}{7}\implies \cfrac{399}{126} \end{cases}\qquad \implies \cfrac{522}{126}>\cfrac{399}{126}\qquad therefore\qquad 4\frac{1}{7}>3\frac{3}{18}$

13)

so both fractions are at a value from 9, so we can simply say, which is larger 2/6 or 4/12?

$\bf \begin{cases} \cfrac{2}{6}\implies \cfrac{1}{3} \\\\\\ \cfrac{4}{12}\implies \cfrac{1}{3} \end{cases}\qquad \implies \cfrac{1}{3}=\cfrac{1}{3}\qquad therefore\qquad 9\frac{2}{6}=9\frac{4}{12}$