(50 point question) Hi there :) I would really appreciate your help. If you could explain how to solve the following problem that would be great. I'll make this question worth 50 points as a thank you! Factor 10x^3y+70x^2y+100xy

Step-by-step explanation:

(((10•(x3))•y)+((30•(x2))•(y2)))-(22•52xy3)

STEP

2

:

Equation at the end of step

2

:

 (((10•(x3))•y)+((2•3•5x2)•y2))-(22•52xy3)

STEP

3

:

Equation at the end of step

3

:

 (((2•5x3) • y) +  (2•3•5x2y2)) -  (22•52xy3)

STEP

4

:

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  10x3y + 30x2y2 - 100xy3  =   10xy • (x2 + 3xy - 10y2)

Trying to factor a multi variable polynomial :

5.2    Factoring    x2 + 3xy - 10y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization  :  (x + 5y)•(x - 2y)

Final result :

 10xy • (x + 5y) • (x - 2y)

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.