Asked by Megan
Expand (2x+5y)^6
Answers
Answered by
MathMate
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.
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.
Answered by
Mgraph
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
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
Answered by
Emmanuel
i dont think the answers are correct pls give me another way our
Answered by
Emmanuel
i don't think the answer is correct, but please give me another way out
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