Question

Find the binomial raised to the power, whose expansion it came from: 10a^3b^2

Answer 1

I will tag some users that may be able to help. @Jhannybean @jim_thompson5910 @Callisto

Answer 2

That's all it asks? Or is there more info?

Answer 3

thats all it asks.

Answer 4

what is the sum of the exponents?

Answer 5

i dont know how to do this , can you explain it to me ?

Answer 6

do you see the exponents?

Answer 7

would it be 6 ?

Answer 8

3+2 is not 6

Answer 9

i multiplied them .

Answer 10

but 5

Answer 11

so we know that we have something in the form (x+y)^5

Answer 12

look at pascal's triangle and look for the row that has 1, 5, etc etc

Answer 13

1 5 10 10 5 1

Answer 14

if 'a' is part of the x term in (x+y)^5, then that means we look at the 3rd number in that row of 1, 5, 10, 10, 5, 1

notice the third number is 10

and how there is a 10 as the coefficient of 10a^3b^2

Answer 15

so that means the two terms x and y must have coefficients of 1 to make 10x^3*y^2 be equal to 10a^3b^2

In this case, x = a and y = b

so we have (a+b)^5

Answer 16

so (1+1)^5 ??????

Answer 17

if you expanded out (a+b)^5, you would get

a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5

and we can see the third term is 10a^3b^2

Answer 18

no, (a+b)^5

Answer 19

oh , okay . so where did 'a' come from?

Answer 20

from 10a^3b^2

Answer 21

right. thanks. i appreciate it.

Answer 22

you're welcome