Math
posted by Megan .
Expand (2x+5y)^6

The binomial coefficients for (a+b)^6 are:
1 6 15 20 15 6 1
which translates to:
(a+b)^6
=a^6 + 6a^5b + 15a^4b^2 + 20a^3b^3 + 15 a^2b^4 + 6 ab^5 + b^6
Substitute a=2x, b=5y into the expansion to get the expansion of
(2x+5y)^6 accordingly. 
Pascal triangle:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1<
(2x+5y)^6=(2x)^6+6(2x)^5(5y)+15(2x)^4(5y)^2+20(2x)^3(5y)^3+15(2x)^2(5y)^4+6(2x)(5y)^5+
(5y)^6
Respond to this Question
Similar Questions

human resources
with so many good foreign markets to enter, the question for MTV International isnâ€™t where should it expand, but how can it expand successfully in so many different places at the same time? 
Log
Expand Log5(5squareroot x/7) the first 5 is a base how would you expand that? 
Math
Expand the following binomials to look for patterns when expanding binomials. Try to find a pattern that will allow you to expand binomials without carrying out all of the steps. (x + 2)3 (2x+1)4 (2x1)4 (2x2)3 
Precalc
1) expand (1+3x)^4 using the Binomial Theorem. 2) Use Pascal's Triangle to expand(x+2)^5 3)What is the third term of (a+b)^11? 
maths
given that x+1/x=3 (a) expand (x+1/x)^3 and use your expansion to show that x^3+1/x^3=18. (ii) expand (x+1/x)^5, using your expansion and the previous results to find the value of x^5+1/x^5 
algebra
Expand. 2(x+10) It looks easy but what do they mean by expand? 
Science (Chemistry)
Hello DrBob222 Regarding the answer you gave me thank you very much. However when you expand the denominator, I don't get 0.14 but I get 0.28. I get that because when I first expand I get 0.0049  0.14x  0.14x + 4x^2. So when I … 
Urgent math
so I tried to expand this question and I got x^3 *x2, i don't know if it's right but if not can I get a step by step explanation please, Expand (2x + y^2)^5. (Simplify your answer completely.) 
Math (Expanding logarithmic expression)
Use the properties of logarithms to expand the logarithmic function ln[(x^2+1)(x1)] Would this be the correct answer? 
math
The area of a spherical balloon expand at a rate of 0.4cm square/s .find the rate at which its volume expand when the radius is 12cm