Multiply.1. $(2x^3y^3)(5x^2y^8)$ 2. $9b^3(8b^4)(-b)$

3. 3y²(y²-2y+3) 4. (x + 3)(x-2)

Answers

Answer 1

Answer: $1. \n \n(2x^3y^3)(5x^2y^8) =2\cdot 5\cdot x^(3+2)\cdot y^(3+8) =10 \cdot x^(5)\cdot y^(11) \n \n 2.\n \n 9b^3(8b^4)(-b) =-9\cdot 8\cdot b^(3+4+1) =-72\cdot b^(8)$

$3.\n \n 3y^2(y^2-2y+3)=\n \n=3y^2\cdot y^2-3y^2\cdot 2y+3y^2\cdot 3 =\n \n =3y ^(2+2) -6y ^(2+1) +9y^2 =\n \n= 3y ^(4) -6y ^(3) +9y^2$

$4.\n \n (x + 3)(x-2)=x^2-2x+3x-6 = x^2+x-6$

Related Questions

Whats the least common factor of 20,44,88

Answers

The least common factor of any group of whole numbers is ' 1 '.

The greatest common factor of those three numbers is 4 .

Henry can write 5 1/4 pages of his novel in 3 hours how many page can he write in 8 hours

Answers

If you would like to know how many pages can Henry write in 8 hours, you can calculate this using the following steps:

5 1/4 = 21/4 pages ... 3 hours
x pages = ? ... 8 hours

21/4 * 8 = 3 * x
21 * 2 = 3 * x
3 * x = 42
x = 42 / 3
x = 14 pages

Henry can write 14 pages of his novel in 8 hours.

What is the 51st term of the sequence below? -7,2,11,20

What is the 22nd term of the sequence below?
-9,-3,3,9

Answers

first determine whether arithmetic sequence or geometric

both seem to be arithmetic

first one
adds 9
starts with -7
an=a1+(n-1)d
a1=first term
d=common difference
an=-7+9(n-1)
51 term is
a51=-7+9(51-1)
a51=-7+9(50)
a51=-7+450
a51=443

51term is 443

adds 6 every times
starts with -9
an=-9+6(n-1)
22nd term
a22=-9+6(22-1)
a22=-9+126
a22=117
22nt term is 117

Which shows the equation c=a(w/150) correctly solved for the variable w ?

Answers

$c=a( (w)/(150) )$

$c=a* (w)/(150)$ $Simplify \ brackets$

$c= (aw)/(150)$

$c*150=aw$ $Multiply \ both \ sides \ by \ 150$

$150c=aw$    $Regroup \ terms$

$(150c)/(a) = w$    $Divide \ both \ sides \ by \ a$

$w= (150c)/(a)$    $Solution$

Final answer:

To solve the equation c = a(w/150) for 'w', divide the equation by 'a' and then multiply by 150. This gives us w = 150c/a. This equation represents 'w' in terms of 'c' and 'a'.

Explanation:

To solve the equation c = a(w/150) for the variable w, you need to isolate w on one side of the equation. The goal is to express w in terms of c and a.

First, divide both sides of equation by a. This gives you c/a = w/150.
Then, multiply both sides by 150 to solve for w. This results in w = 150c/a.

So, the equation solved for w is w = 150c/a.

Learn more about Solving for a Variable here:

brainly.com/question/35263223

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How many square feet of paper do you need to cover a cube with a side 10 in. long? Round your answer to two decimal places.A. 4.17 sq ft
B. 86.40 sq ft
C. 6.94 sq ft
D. 82.52 sq ft