Which of the following expressions are equivalent to 48^3-75a? Select all that apply.A.) 3(48^3-75a)
B.) 3a(16a^2-25)
C.) 3a(4a+5)(4a+5)
D.)3a(4a+5)(4a-5)
E.)-3a(25-26a^2)
F.) -3a(5-4a)(5+4a)

Answers

Answer 1

Answer: $48a^3-75a=3a\cdot16a^2-3a\cdot25=\underbrace{3a(16a^2-25)}_(B.))\n\n=3a\left[(4a)^2-5^2\right]=\underbrace{3a(4a-5)(4a+5)}_(D.))=\underbrace{-3a(5-4a)(5+4a)}_(F.))$

Related Questions

Factor the polynomial below 20x^2-45

Answers

$20x^2-45=5(4x^2-9)=5[(2x)^2-3^2]=5(2x-3)(2x+3)\n\n--------------------------\n\nuse:a^2-b^2=(a-b)(a+b)$

$(a+b)(a-b)=a^2-b^2\n---------------------\n\n20x^2-45=5\cdot4x^2-5\cdot9=5\cdot(4x^2-9)=\n\n.\ \ \ \ \ \ \ \ \ \ \ \ =5\cdot[(2x)^2-3^2]=5\cdot(2x+3)(2x-3)$

What is the equation of the graphed line?Hint: Determine the slope of the line.

y = x

Answers

MOD . . .

I have respectfully withdrawn the answer I started with.
I may come back later and write a correct answer, but for now,
I would like to have any trace of my activity expunged.
Please delete this.
ALC

Whch faction is smaller 5/6 or 5/8

Answers

5/8 is the smaller fraction

5/6 is 1/6 away from 1
while 5/8 is 3/8 away from 1
Next, 3/8>2/8
(2/8=1/4)

So, 5/8 is more than 1/4 away from 1
Because 1/4>1/6
--> 5/8 is farther away from 1 than 1/6
Thus, 5/8 is smaller.

A shortcut I've been taught is attached

Explanation of attached file:
40 is above 5/6
while 30 is above 5/8
since 40>30 --> 5/6>5/8

Hope this helps!

68 increased by 75%

Answers

Let's see -

Follow the directions below to get your answer -

0.75 × 68 = 51

51 + 68 = 119

So, 119 is your answer

68 increased by 75% is 119.

↑ ↑ ↑ Hope this helps! :D

68 increased by 75%

That means we have 68 and we increase it by 75% of 68.

That can be expressed as 68 + (68 * 0.75)

That can also be expressed as 68 * 1.75

So, 68 * 1.75 = 119.

Just to make sure, lets try the other calculation: 68 + (68 * 0.75) = 68 + 51 = 119.

68 increased by 75% is 119.

How do you regroup 43 ones as tens and ones

Answers

4 tens and 3 ones Hope this helps :3

1 ten = 10 ones

1 one = 1 one

40 ÷ 10 = 4

3 ÷ 1 = 3

SO,

to regroup 43 ones as tens and ones we will need

4 tens & 3 ones.

Hope I helped ya!!

.101 as a simplified fraction