1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
noname [10]
3 years ago
13

Hey, i need help with these (image attached)

Mathematics
1 answer:
Ilya [14]3 years ago
7 0

Answer:

1. (3/5a^3b -5/6ab^3)^2

2. (x/3 +y/5)^2

Step-by-step explanation:

As you know, the square of a binomial expands like this:

(p +q)^2 = p^2 +2pq +q^2

The two "end" terms of the expansion are the squares of the terms of the binomial, and the middle term of the expansion is twice the product of the binomial terms (with the same sign as the binomial).

So, you can work this by ...

• check to see if the "end" terms are perfect squares. If they are, write the binomial as their sum, with the sign of the middle term

• check to see if the middlt term is double the product of the two binomial terms you just wrote. If it is, complete the problem by indicating the square of that binomial.

___

1. The square root of 9/25a^6b^2 is 3/5a^3b, so that will be one term of the binomial.

The square root of 25/36a^2b^6 is 5/6ab^3, so that will be the other term of the binomial. The sign of the middle term -a^4b^4 is negative, so our binomial is ...

(3/5a^3b -5/6ab^3)

The product of these two terms is (-1/2)a^4b^4, and the given middle term is twice that. The given trinomial is the square ...

9/25a^6b^2 -a^4b^4 +25/36a^2b^6 = (3/5a^3b -5/6ab^3)^2

___

2. The square root of 1/9x^2 is x/3. The square root of 1/25y^2 is y/5. The middle term, 2/15xy, is double the product of these terms, so the expression is the square ...

1/9x^2 +2/15xy +1/25y^2 = (x/3 +y/5)^2

You might be interested in
If 1 cm = 0.394 inches, how many inches are in 1 kilometer?
Marta_Voda [28]
Since 1 km is 100,000 cm there are 39,400 inches in a kilometer
8 0
2 years ago
Read 2 more answers
Solve the equation identify extraneous solutions
PIT_PIT [208]

Answer:

Step-by-step explanation:

The goal to solving any equation is to have x = {something}.  That means we need to get the x out from underneath that radical.  It's a square root, so we can "undo" it by squaring.  Square both sides because this is an equation.  Squaring both sides gives you

x^2=-3x+40

Get everything on one side of the equals sign and set the quadratic equal to 0:

x^2+3x-40=0

Throw this into the quadratic formula to get that the solutions are x = 5 and -8.  We need to see if only one works, both work, or neither work in the original equation.

Does 5=\sqrt{-3(5)+40}?

5=\sqrt{-15+40} and

5=\sqrt{25}

and 5 = 5.  So 5 works.  Let's try -8 now:

-8=\sqrt{-3(-8)+40} and

-8=\sqrt{24+40} so

-8=\sqrt{64}

-8 = 8?  No it doesn't.  So only 5 works. Your choice is the third one down.

6 0
3 years ago
The pencil is 10 cm long and the cup is 8 cm tall. Find the diameter of the base of the cup?
vlada-n [284]
80 because when u do 10 times 8 it’s 80
3 0
2 years ago
A ruler is 12 inches long.what is the length of this ruler in centimeters
lawyer [7]
I think it is 30.48 because i looked it up 
8 0
3 years ago
Read 2 more answers
Which table represents a linear function?
mart [117]
Well, a linear function is proportional, a straight line (on a graph). And the numbers must not have the same answer. For instance, if the X input is 5, and the Y output is 7. And then another X input is 5, and the Y output is 8, that's non-linear.

So, the Answer would be the third graph. This is because the X values are steadily increasing, and so are the Y values. 

For the X and Y values, for each time X increases by 1, Y increases by -8. This is, linear because both sides are constantly and evenly increasing.

6 0
3 years ago
Read 2 more answers
Other questions:
  • 4 gallons of paint are used to paying 25 chairs if each chair used the same amount of paint how many gallons are used to paint e
    14·1 answer
  • Answer with a space i don't care
    13·1 answer
  • Georgie earns annual salary of $54,790. If she is paid weekly what is her weekly salary to the nearest cent?
    7·1 answer
  • HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT
    6·1 answer
  • A worm takes 19 seconds to travel 25 cm , How many groups of 25 cm are in 1 meter ? u guys don't need to help me but if u would
    15·1 answer
  • Please help me i have the pic below: find the 27th term given the function an=-10+(n-1)(-2)
    5·1 answer
  • Is it hot or cold at the space​
    15·1 answer
  • Need help alegbra!!! Look at photo for question!!
    7·1 answer
  • 142.6 divided by 2.3
    7·2 answers
  • 3) Solve the equation for x.<br> 10(4x + 4) = 400<br> A) 2<br> B) 4<br> C) 9<br> D) 18
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!