How to factorise:

1) 9t²w - 3.

2) 4(x - 5)² + 3 (x - 5)

1.  

2.  

Step-by-step explanation:

For the first question, you simply get the common factor out of both values and in this case it is 3. So if you take 3 out of it is basically like dividing.

*You can't divide the alphabetic variables though* So it would be 3t^2w

Then, with -3 you again divide it by 3 so it would be -1.

Put them together and you get

3(3t^2w-1)

For the second question it has some more steps than the first one.

You first expand both of them:

4(x-5)(x-5) + 3x - 15

Then you should expand the double brackets using the foil method ( search it up if confused):

Then you simply the brackets where -5x and -5x makes -10x. Now take the whole bracket and times it by 4 :

Now you simplify again:

You then factorise this equation right here into a double bracket:

As you could see (x-5) is the same so it works!

then you factorise it to:

I hope it is right and if you see any mistakes pls feel free to ask :)

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

sadsdda

step-by-step explanation: