Posted by **Megan** on Thursday, May 12, 2011 at 5:14pm.

Expand (2x+5y)^6

- Math -
**MathMate**, Thursday, May 12, 2011 at 5:35pm
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.

- Math -
**Mgraph**, Thursday, May 12, 2011 at 5:47pm
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

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